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Finding the Fourth Proportional to 618.90, 929.52 and 531.24

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Solution

The fourth proportional to 618.90, 929.52 and 531.24 is: 797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.90 : 929.52 = 531.24 : x
  2. Step 2: Convert to fraction form
    618.90/929.52 = 531.24/x
  3. Step 3: Cross multiply
    618.90x = 929.52 × 531.24
  4. Step 4: Simplify right side
    618.90x = 493,798.20
  5. Step 5: Solve for x
    x = 493,798.20/618.90
  6. Step 6: Final answer
    x = 797.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.