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Finding the Fourth Proportional to 1,062.16, 1,465.80 and 590.10

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Solution

The fourth proportional to 1,062.16, 1,465.80 and 590.10 is: 814.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.16 : 1,465.80 = 590.10 : x
  2. Step 2: Convert to fraction form
    1,062.16/1,465.80 = 590.10/x
  3. Step 3: Cross multiply
    1,062.16x = 1,465.80 × 590.10
  4. Step 4: Simplify right side
    1,062.16x = 864,974.09
  5. Step 5: Solve for x
    x = 864,974.09/1,062.16
  6. Step 6: Final answer
    x = 814.35

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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.