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Finding the Fourth Proportional to 977.48, 1,349.05 and 557.75

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Solution

The fourth proportional to 977.48, 1,349.05 and 557.75 is: 769.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.48 : 1,349.05 = 557.75 : x
  2. Step 2: Convert to fraction form
    977.48/1,349.05 = 557.75/x
  3. Step 3: Cross multiply
    977.48x = 1,349.05 × 557.75
  4. Step 4: Simplify right side
    977.48x = 752,432.64
  5. Step 5: Solve for x
    x = 752,432.64/977.48
  6. Step 6: Final answer
    x = 769.77

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