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Finding the Fourth Proportional to 1,062.43, 1,466.18 and 590.31

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Solution

The fourth proportional to 1,062.43, 1,466.18 and 590.31 is: 814.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.43 : 1,466.18 = 590.31 : x
  2. Step 2: Convert to fraction form
    1,062.43/1,466.18 = 590.31/x
  3. Step 3: Cross multiply
    1,062.43x = 1,466.18 × 590.31
  4. Step 4: Simplify right side
    1,062.43x = 865,499.98
  5. Step 5: Solve for x
    x = 865,499.98/1,062.43
  6. Step 6: Final answer
    x = 814.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.