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Finding the Fourth Proportional to 1,029.46, 1,542.26 and 508.86

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Solution

The fourth proportional to 1,029.46, 1,542.26 and 508.86 is: 762.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.46 : 1,542.26 = 508.86 : x
  2. Step 2: Convert to fraction form
    1,029.46/1,542.26 = 508.86/x
  3. Step 3: Cross multiply
    1,029.46x = 1,542.26 × 508.86
  4. Step 4: Simplify right side
    1,029.46x = 784,784.17
  5. Step 5: Solve for x
    x = 784,784.17/1,029.46
  6. Step 6: Final answer
    x = 762.33

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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.