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Finding the Fourth Proportional to 652.29, 976.05 and 562.07

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Solution

The fourth proportional to 652.29, 976.05 and 562.07 is: 841.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.29 : 976.05 = 562.07 : x
  2. Step 2: Convert to fraction form
    652.29/976.05 = 562.07/x
  3. Step 3: Cross multiply
    652.29x = 976.05 × 562.07
  4. Step 4: Simplify right side
    652.29x = 548,603.54
  5. Step 5: Solve for x
    x = 548,603.54/652.29
  6. Step 6: Final answer
    x = 841.04

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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.