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Finding the Fourth Proportional to 1,032.21, 1,424.52 and 590.04

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Solution

The fourth proportional to 1,032.21, 1,424.52 and 590.04 is: 814.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.21 : 1,424.52 = 590.04 : x
  2. Step 2: Convert to fraction form
    1,032.21/1,424.52 = 590.04/x
  3. Step 3: Cross multiply
    1,032.21x = 1,424.52 × 590.04
  4. Step 4: Simplify right side
    1,032.21x = 840,523.78
  5. Step 5: Solve for x
    x = 840,523.78/1,032.21
  6. Step 6: Final answer
    x = 814.30

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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.