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Finding the Fourth Proportional to 1,062.13, 1,465.69 and 590.04

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Solution

The fourth proportional to 1,062.13, 1,465.69 and 590.04 is: 814.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.13 : 1,465.69 = 590.04 : x
  2. Step 2: Convert to fraction form
    1,062.13/1,465.69 = 590.04/x
  3. Step 3: Cross multiply
    1,062.13x = 1,465.69 × 590.04
  4. Step 4: Simplify right side
    1,062.13x = 864,815.73
  5. Step 5: Solve for x
    x = 864,815.73/1,062.13
  6. Step 6: Final answer
    x = 814.23

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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.