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Finding the Fourth Proportional to 1,062.29, 1,465.96 and 590.26

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Solution

The fourth proportional to 1,062.29, 1,465.96 and 590.26 is: 814.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.29 : 1,465.96 = 590.26 : x
  2. Step 2: Convert to fraction form
    1,062.29/1,465.96 = 590.26/x
  3. Step 3: Cross multiply
    1,062.29x = 1,465.96 × 590.26
  4. Step 4: Simplify right side
    1,062.29x = 865,297.55
  5. Step 5: Solve for x
    x = 865,297.55/1,062.29
  6. Step 6: Final answer
    x = 814.56

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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.