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Finding the Fourth Proportional to 1,035.59, 1,429.11 and 642.38

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Solution

The fourth proportional to 1,035.59, 1,429.11 and 642.38 is: 886.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.59 : 1,429.11 = 642.38 : x
  2. Step 2: Convert to fraction form
    1,035.59/1,429.11 = 642.38/x
  3. Step 3: Cross multiply
    1,035.59x = 1,429.11 × 642.38
  4. Step 4: Simplify right side
    1,035.59x = 918,024.54
  5. Step 5: Solve for x
    x = 918,024.54/1,035.59
  6. Step 6: Final answer
    x = 886.48

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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.