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Finding the Fourth Proportional to 1,042.14, 1,438.11 and 576.36

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Solution

The fourth proportional to 1,042.14, 1,438.11 and 576.36 is: 795.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.14 : 1,438.11 = 576.36 : x
  2. Step 2: Convert to fraction form
    1,042.14/1,438.11 = 576.36/x
  3. Step 3: Cross multiply
    1,042.14x = 1,438.11 × 576.36
  4. Step 4: Simplify right side
    1,042.14x = 828,869.08
  5. Step 5: Solve for x
    x = 828,869.08/1,042.14
  6. Step 6: Final answer
    x = 795.35

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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.