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Finding the Fourth Proportional to 977.57, 1,349.00 and 535.46

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Solution

The fourth proportional to 977.57, 1,349.00 and 535.46 is: 738.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.57 : 1,349.00 = 535.46 : x
  2. Step 2: Convert to fraction form
    977.57/1,349.00 = 535.46/x
  3. Step 3: Cross multiply
    977.57x = 1,349.00 × 535.46
  4. Step 4: Simplify right side
    977.57x = 722,338.73
  5. Step 5: Solve for x
    x = 722,338.73/977.57
  6. Step 6: Final answer
    x = 738.91

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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.