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Finding the Fourth Proportional to 1,032.10, 1,424.28 and 639.02

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Solution

The fourth proportional to 1,032.10, 1,424.28 and 639.02 is: 881.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.10 : 1,424.28 = 639.02 : x
  2. Step 2: Convert to fraction form
    1,032.10/1,424.28 = 639.02/x
  3. Step 3: Cross multiply
    1,032.10x = 1,424.28 × 639.02
  4. Step 4: Simplify right side
    1,032.10x = 910,143.41
  5. Step 5: Solve for x
    x = 910,143.41/1,032.10
  6. Step 6: Final answer
    x = 881.84

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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.