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Finding the Fourth Proportional to 976, 1,347.06 and 562

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Solution

The fourth proportional to 976, 1,347.06 and 562 is: 775.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    976 : 1,347.06 = 562 : x
  2. Step 2: Convert to fraction form
    976/1,347.06 = 562/x
  3. Step 3: Cross multiply
    976x = 1,347.06 × 562
  4. Step 4: Simplify right side
    976x = 757,047.72
  5. Step 5: Solve for x
    x = 757,047.72/976
  6. Step 6: Final answer
    x = 775.66

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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.