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Finding the Fourth Proportional to 1,032.48, 1,424.13 and 639.28

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Solution

The fourth proportional to 1,032.48, 1,424.13 and 639.28 is: 881.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.48 : 1,424.13 = 639.28 : x
  2. Step 2: Convert to fraction form
    1,032.48/1,424.13 = 639.28/x
  3. Step 3: Cross multiply
    1,032.48x = 1,424.13 × 639.28
  4. Step 4: Simplify right side
    1,032.48x = 910,417.83
  5. Step 5: Solve for x
    x = 910,417.83/1,032.48
  6. Step 6: Final answer
    x = 881.78

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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.