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Finding the Fourth Proportional to 977.37, 1,348.72 and 557.74

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Solution

The fourth proportional to 977.37, 1,348.72 and 557.74 is: 769.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.37 : 1,348.72 = 557.74 : x
  2. Step 2: Convert to fraction form
    977.37/1,348.72 = 557.74/x
  3. Step 3: Cross multiply
    977.37x = 1,348.72 × 557.74
  4. Step 4: Simplify right side
    977.37x = 752,235.09
  5. Step 5: Solve for x
    x = 752,235.09/977.37
  6. Step 6: Final answer
    x = 769.65

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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.