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Finding the Fourth Proportional to 1,062.24, 1,465.34 and 689.42

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Solution

The fourth proportional to 1,062.24, 1,465.34 and 689.42 is: 951.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.24 : 1,465.34 = 689.42 : x
  2. Step 2: Convert to fraction form
    1,062.24/1,465.34 = 689.42/x
  3. Step 3: Cross multiply
    1,062.24x = 1,465.34 × 689.42
  4. Step 4: Simplify right side
    1,062.24x = 1,010,231.26
  5. Step 5: Solve for x
    x = 1,010,231.26/1,062.24
  6. Step 6: Final answer
    x = 951.04

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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.