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Finding the Fourth Proportional to 1,042.52, 1,438.64 and 576.77

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Solution

The fourth proportional to 1,042.52, 1,438.64 and 576.77 is: 795.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.52 : 1,438.64 = 576.77 : x
  2. Step 2: Convert to fraction form
    1,042.52/1,438.64 = 576.77/x
  3. Step 3: Cross multiply
    1,042.52x = 1,438.64 × 576.77
  4. Step 4: Simplify right side
    1,042.52x = 829,758.64
  5. Step 5: Solve for x
    x = 829,758.64/1,042.52
  6. Step 6: Final answer
    x = 795.92

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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.