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Finding the Fourth Proportional to 1,062.13, 1,465.23 and 689.23

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Solution

The fourth proportional to 1,062.13, 1,465.23 and 689.23 is: 950.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.13 : 1,465.23 = 689.23 : x
  2. Step 2: Convert to fraction form
    1,062.13/1,465.23 = 689.23/x
  3. Step 3: Cross multiply
    1,062.13x = 1,465.23 × 689.23
  4. Step 4: Simplify right side
    1,062.13x = 1,009,869.70
  5. Step 5: Solve for x
    x = 1,009,869.70/1,062.13
  6. Step 6: Final answer
    x = 950.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.