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Finding the Fourth Proportional to 653.76, 978.84 and 517.68

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Solution

The fourth proportional to 653.76, 978.84 and 517.68 is: 775.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.76 : 978.84 = 517.68 : x
  2. Step 2: Convert to fraction form
    653.76/978.84 = 517.68/x
  3. Step 3: Cross multiply
    653.76x = 978.84 × 517.68
  4. Step 4: Simplify right side
    653.76x = 506,725.89
  5. Step 5: Solve for x
    x = 506,725.89/653.76
  6. Step 6: Final answer
    x = 775.09

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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.