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Finding the Fourth Proportional to 1,032, 1,424.46 and 638.83

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Solution

The fourth proportional to 1,032, 1,424.46 and 638.83 is: 881.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032 : 1,424.46 = 638.83 : x
  2. Step 2: Convert to fraction form
    1,032/1,424.46 = 638.83/x
  3. Step 3: Cross multiply
    1,032x = 1,424.46 × 638.83
  4. Step 4: Simplify right side
    1,032x = 909,987.78
  5. Step 5: Solve for x
    x = 909,987.78/1,032
  6. Step 6: Final answer
    x = 881.77

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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.