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Finding the Fourth Proportional to 1,032, 1,424.14 and 589.88

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Solution

The fourth proportional to 1,032, 1,424.14 and 589.88 is: 814.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032 : 1,424.14 = 589.88 : x
  2. Step 2: Convert to fraction form
    1,032/1,424.14 = 589.88/x
  3. Step 3: Cross multiply
    1,032x = 1,424.14 × 589.88
  4. Step 4: Simplify right side
    1,032x = 840,071.70
  5. Step 5: Solve for x
    x = 840,071.70/1,032
  6. Step 6: Final answer
    x = 814.02

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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.