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Finding the Fourth Proportional to 977.49, 1,349.04 and 557.88

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Solution

The fourth proportional to 977.49, 1,349.04 and 557.88 is: 769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.49 : 1,349.04 = 557.88 : x
  2. Step 2: Convert to fraction form
    977.49/1,349.04 = 557.88/x
  3. Step 3: Cross multiply
    977.49x = 1,349.04 × 557.88
  4. Step 4: Simplify right side
    977.49x = 752,602.44
  5. Step 5: Solve for x
    x = 752,602.44/977.49
  6. Step 6: Final answer
    x = 769.93

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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.