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Finding the Fourth Proportional to 977.54, 1,349.05 and 557.96

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Solution

The fourth proportional to 977.54, 1,349.05 and 557.96 is: 770.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.54 : 1,349.05 = 557.96 : x
  2. Step 2: Convert to fraction form
    977.54/1,349.05 = 557.96/x
  3. Step 3: Cross multiply
    977.54x = 1,349.05 × 557.96
  4. Step 4: Simplify right side
    977.54x = 752,717.92
  5. Step 5: Solve for x
    x = 752,717.92/977.54
  6. Step 6: Final answer
    x = 770.01

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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.