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Finding the Fourth Proportional to 652.71, 977.54 and 566.75

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Solution

The fourth proportional to 652.71, 977.54 and 566.75 is: 848.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.71 : 977.54 = 566.75 : x
  2. Step 2: Convert to fraction form
    652.71/977.54 = 566.75/x
  3. Step 3: Cross multiply
    652.71x = 977.54 × 566.75
  4. Step 4: Simplify right side
    652.71x = 554,020.80
  5. Step 5: Solve for x
    x = 554,020.80/652.71
  6. Step 6: Final answer
    x = 848.80

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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.