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Finding the Fourth Proportional to 1,062.68, 1,466.48 and 590.56

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Solution

The fourth proportional to 1,062.68, 1,466.48 and 590.56 is: 814.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.68 : 1,466.48 = 590.56 : x
  2. Step 2: Convert to fraction form
    1,062.68/1,466.48 = 590.56/x
  3. Step 3: Cross multiply
    1,062.68x = 1,466.48 × 590.56
  4. Step 4: Simplify right side
    1,062.68x = 866,044.43
  5. Step 5: Solve for x
    x = 866,044.43/1,062.68
  6. Step 6: Final answer
    x = 814.96

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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.