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Finding the Fourth Proportional to 976, 1,346.88 and 562.24

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Solution

The fourth proportional to 976, 1,346.88 and 562.24 is: 775.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    976 : 1,346.88 = 562.24 : x
  2. Step 2: Convert to fraction form
    976/1,346.88 = 562.24/x
  3. Step 3: Cross multiply
    976x = 1,346.88 × 562.24
  4. Step 4: Simplify right side
    976x = 757,269.81
  5. Step 5: Solve for x
    x = 757,269.81/976
  6. Step 6: Final answer
    x = 775.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.