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Finding the Fourth Proportional to 976.97, 1,348.18 and 557.46

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Solution

The fourth proportional to 976.97, 1,348.18 and 557.46 is: 769.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.97 : 1,348.18 = 557.46 : x
  2. Step 2: Convert to fraction form
    976.97/1,348.18 = 557.46/x
  3. Step 3: Cross multiply
    976.97x = 1,348.18 × 557.46
  4. Step 4: Simplify right side
    976.97x = 751,549.68
  5. Step 5: Solve for x
    x = 751,549.68/976.97
  6. Step 6: Final answer
    x = 769.27

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1.5x scale

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.