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Finding the Fourth Proportional to 1,050.97, 1,576.71 and 473.85

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Solution

The fourth proportional to 1,050.97, 1,576.71 and 473.85 is: 710.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.97 : 1,576.71 = 473.85 : x
  2. Step 2: Convert to fraction form
    1,050.97/1,576.71 = 473.85/x
  3. Step 3: Cross multiply
    1,050.97x = 1,576.71 × 473.85
  4. Step 4: Simplify right side
    1,050.97x = 747,113.78
  5. Step 5: Solve for x
    x = 747,113.78/1,050.97
  6. Step 6: Final answer
    x = 710.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.