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Finding the Fourth Proportional to 1,062.31, 1,466.07 and 590.35

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Solution

The fourth proportional to 1,062.31, 1,466.07 and 590.35 is: 814.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.31 : 1,466.07 = 590.35 : x
  2. Step 2: Convert to fraction form
    1,062.31/1,466.07 = 590.35/x
  3. Step 3: Cross multiply
    1,062.31x = 1,466.07 × 590.35
  4. Step 4: Simplify right side
    1,062.31x = 865,494.42
  5. Step 5: Solve for x
    x = 865,494.42/1,062.31
  6. Step 6: Final answer
    x = 814.73

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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.