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Finding the Fourth Proportional to 1,062.11, 1,465.80 and 590.05

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Solution

The fourth proportional to 1,062.11, 1,465.80 and 590.05 is: 814.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.11 : 1,465.80 = 590.05 : x
  2. Step 2: Convert to fraction form
    1,062.11/1,465.80 = 590.05/x
  3. Step 3: Cross multiply
    1,062.11x = 1,465.80 × 590.05
  4. Step 4: Simplify right side
    1,062.11x = 864,895.29
  5. Step 5: Solve for x
    x = 864,895.29/1,062.11
  6. Step 6: Final answer
    x = 814.32

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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.