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Finding the Fourth Proportional to 1,062.61, 1,466.33 and 590.46

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Solution

The fourth proportional to 1,062.61, 1,466.33 and 590.46 is: 814.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.61 : 1,466.33 = 590.46 : x
  2. Step 2: Convert to fraction form
    1,062.61/1,466.33 = 590.46/x
  3. Step 3: Cross multiply
    1,062.61x = 1,466.33 × 590.46
  4. Step 4: Simplify right side
    1,062.61x = 865,809.21
  5. Step 5: Solve for x
    x = 865,809.21/1,062.61
  6. Step 6: Final answer
    x = 814.79

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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.