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Finding the Fourth Proportional to 932.55, 1,287.42 and 653.64

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Solution

The fourth proportional to 932.55, 1,287.42 and 653.64 is: 902.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.55 : 1,287.42 = 653.64 : x
  2. Step 2: Convert to fraction form
    932.55/1,287.42 = 653.64/x
  3. Step 3: Cross multiply
    932.55x = 1,287.42 × 653.64
  4. Step 4: Simplify right side
    932.55x = 841,499.50
  5. Step 5: Solve for x
    x = 841,499.50/932.55
  6. Step 6: Final answer
    x = 902.37

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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.