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Finding the Fourth Proportional to 654.48, 902.70 and 567

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Solution

The fourth proportional to 654.48, 902.70 and 567 is: 782.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.48 : 902.70 = 567 : x
  2. Step 2: Convert to fraction form
    654.48/902.70 = 567/x
  3. Step 3: Cross multiply
    654.48x = 902.70 × 567
  4. Step 4: Simplify right side
    654.48x = 511,830.90
  5. Step 5: Solve for x
    x = 511,830.90/654.48
  6. Step 6: Final answer
    x = 782.04

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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.