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Finding the Fourth Proportional to 1,032.42, 1,424.71 and 590.29

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Solution

The fourth proportional to 1,032.42, 1,424.71 and 590.29 is: 814.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.42 : 1,424.71 = 590.29 : x
  2. Step 2: Convert to fraction form
    1,032.42/1,424.71 = 590.29/x
  3. Step 3: Cross multiply
    1,032.42x = 1,424.71 × 590.29
  4. Step 4: Simplify right side
    1,032.42x = 840,989.11
  5. Step 5: Solve for x
    x = 840,989.11/1,032.42
  6. Step 6: Final answer
    x = 814.58

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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.