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Finding the Fourth Proportional to 688.38, 1,029.41 and 513

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Solution

The fourth proportional to 688.38, 1,029.41 and 513 is: 767.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.38 : 1,029.41 = 513 : x
  2. Step 2: Convert to fraction form
    688.38/1,029.41 = 513/x
  3. Step 3: Cross multiply
    688.38x = 1,029.41 × 513
  4. Step 4: Simplify right side
    688.38x = 528,084.77
  5. Step 5: Solve for x
    x = 528,084.77/688.38
  6. Step 6: Final answer
    x = 767.14

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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.