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Finding the Fourth Proportional to 731.85, 1,010.07 and 585.60

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Solution

The fourth proportional to 731.85, 1,010.07 and 585.60 is: 808.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.85 : 1,010.07 = 585.60 : x
  2. Step 2: Convert to fraction form
    731.85/1,010.07 = 585.60/x
  3. Step 3: Cross multiply
    731.85x = 1,010.07 × 585.60
  4. Step 4: Simplify right side
    731.85x = 591,496.99
  5. Step 5: Solve for x
    x = 591,496.99/731.85
  6. Step 6: Final answer
    x = 808.22

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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.