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Finding the Fourth Proportional to 1,065.44, 1,589.07 and 1,046.98

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Solution

The fourth proportional to 1,065.44, 1,589.07 and 1,046.98 is: 1,561.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.44 : 1,589.07 = 1,046.98 : x
  2. Step 2: Convert to fraction form
    1,065.44/1,589.07 = 1,046.98/x
  3. Step 3: Cross multiply
    1,065.44x = 1,589.07 × 1,046.98
  4. Step 4: Simplify right side
    1,065.44x = 1,663,724.51
  5. Step 5: Solve for x
    x = 1,663,724.51/1,065.44
  6. Step 6: Final answer
    x = 1,561.54

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.