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Finding the Fourth Proportional to 1,678.32, 2,517.76 and 524

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Solution

The fourth proportional to 1,678.32, 2,517.76 and 524 is: 786.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.32 : 2,517.76 = 524 : x
  2. Step 2: Convert to fraction form
    1,678.32/2,517.76 = 524/x
  3. Step 3: Cross multiply
    1,678.32x = 2,517.76 × 524
  4. Step 4: Simplify right side
    1,678.32x = 1,319,306.24
  5. Step 5: Solve for x
    x = 1,319,306.24/1,678.32
  6. Step 6: Final answer
    x = 786.09

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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.