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Finding the Fourth Proportional to 1,032.69, 1,424.95 and 634.42

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Solution

The fourth proportional to 1,032.69, 1,424.95 and 634.42 is: 875.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.69 : 1,424.95 = 634.42 : x
  2. Step 2: Convert to fraction form
    1,032.69/1,424.95 = 634.42/x
  3. Step 3: Cross multiply
    1,032.69x = 1,424.95 × 634.42
  4. Step 4: Simplify right side
    1,032.69x = 904,016.78
  5. Step 5: Solve for x
    x = 904,016.78/1,032.69
  6. Step 6: Final answer
    x = 875.40

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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.