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Finding the Fourth Proportional to 1,156.74, 1,596.28 and 632.76

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Solution

The fourth proportional to 1,156.74, 1,596.28 and 632.76 is: 873.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.74 : 1,596.28 = 632.76 : x
  2. Step 2: Convert to fraction form
    1,156.74/1,596.28 = 632.76/x
  3. Step 3: Cross multiply
    1,156.74x = 1,596.28 × 632.76
  4. Step 4: Simplify right side
    1,156.74x = 1,010,062.13
  5. Step 5: Solve for x
    x = 1,010,062.13/1,156.74
  6. Step 6: Final answer
    x = 873.20

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.