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Finding the Fourth Proportional to 1,027.67, 1,418.19 and 585.59

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Solution

The fourth proportional to 1,027.67, 1,418.19 and 585.59 is: 808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.67 : 1,418.19 = 585.59 : x
  2. Step 2: Convert to fraction form
    1,027.67/1,418.19 = 585.59/x
  3. Step 3: Cross multiply
    1,027.67x = 1,418.19 × 585.59
  4. Step 4: Simplify right side
    1,027.67x = 830,470.79
  5. Step 5: Solve for x
    x = 830,470.79/1,027.67
  6. Step 6: Final answer
    x = 808.11

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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.