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Finding the Fourth Proportional to 652.32, 978.96 and 566.88

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Solution

The fourth proportional to 652.32, 978.96 and 566.88 is: 850.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.32 : 978.96 = 566.88 : x
  2. Step 2: Convert to fraction form
    652.32/978.96 = 566.88/x
  3. Step 3: Cross multiply
    652.32x = 978.96 × 566.88
  4. Step 4: Simplify right side
    652.32x = 554,952.84
  5. Step 5: Solve for x
    x = 554,952.84/652.32
  6. Step 6: Final answer
    x = 850.74

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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.