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Finding the Fourth Proportional to 1,042.53, 1,438.64 and 576.75

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Solution

The fourth proportional to 1,042.53, 1,438.64 and 576.75 is: 795.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.53 : 1,438.64 = 576.75 : x
  2. Step 2: Convert to fraction form
    1,042.53/1,438.64 = 576.75/x
  3. Step 3: Cross multiply
    1,042.53x = 1,438.64 × 576.75
  4. Step 4: Simplify right side
    1,042.53x = 829,732.74
  5. Step 5: Solve for x
    x = 829,732.74/1,042.53
  6. Step 6: Final answer
    x = 795.88

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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.