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Finding the Fourth Proportional to 656.85, 905.81 and 509.43

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Solution

The fourth proportional to 656.85, 905.81 and 509.43 is: 702.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.85 : 905.81 = 509.43 : x
  2. Step 2: Convert to fraction form
    656.85/905.81 = 509.43/x
  3. Step 3: Cross multiply
    656.85x = 905.81 × 509.43
  4. Step 4: Simplify right side
    656.85x = 461,444.24
  5. Step 5: Solve for x
    x = 461,444.24/656.85
  6. Step 6: Final answer
    x = 702.51

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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.