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Finding the Fourth Proportional to 1,062.19, 1,465.89 and 590.13

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Solution

The fourth proportional to 1,062.19, 1,465.89 and 590.13 is: 814.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.19 : 1,465.89 = 590.13 : x
  2. Step 2: Convert to fraction form
    1,062.19/1,465.89 = 590.13/x
  3. Step 3: Cross multiply
    1,062.19x = 1,465.89 × 590.13
  4. Step 4: Simplify right side
    1,062.19x = 865,065.67
  5. Step 5: Solve for x
    x = 865,065.67/1,062.19
  6. Step 6: Final answer
    x = 814.42

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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.