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Finding the Fourth Proportional to 977.32, 1,348.66 and 557.68

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Solution

The fourth proportional to 977.32, 1,348.66 and 557.68 is: 769.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.32 : 1,348.66 = 557.68 : x
  2. Step 2: Convert to fraction form
    977.32/1,348.66 = 557.68/x
  3. Step 3: Cross multiply
    977.32x = 1,348.66 × 557.68
  4. Step 4: Simplify right side
    977.32x = 752,120.71
  5. Step 5: Solve for x
    x = 752,120.71/977.32
  6. Step 6: Final answer
    x = 769.57

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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.