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Finding the Fourth Proportional to 1,032.62, 1,424.66 and 590.22

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Solution

The fourth proportional to 1,032.62, 1,424.66 and 590.22 is: 814.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.62 : 1,424.66 = 590.22 : x
  2. Step 2: Convert to fraction form
    1,032.62/1,424.66 = 590.22/x
  3. Step 3: Cross multiply
    1,032.62x = 1,424.66 × 590.22
  4. Step 4: Simplify right side
    1,032.62x = 840,862.83
  5. Step 5: Solve for x
    x = 840,862.83/1,032.62
  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.