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Finding the Fourth Proportional to 717.68, 1,074.36 and 524

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Solution

The fourth proportional to 717.68, 1,074.36 and 524 is: 784.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.68 : 1,074.36 = 524 : x
  2. Step 2: Convert to fraction form
    717.68/1,074.36 = 524/x
  3. Step 3: Cross multiply
    717.68x = 1,074.36 × 524
  4. Step 4: Simplify right side
    717.68x = 562,964.64
  5. Step 5: Solve for x
    x = 562,964.64/717.68
  6. Step 6: Final answer
    x = 784.42

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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.