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Finding the Fourth Proportional to 1,062.38, 1,594.19 and 446.04

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Solution

The fourth proportional to 1,062.38, 1,594.19 and 446.04 is: 669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.38 : 1,594.19 = 446.04 : x
  2. Step 2: Convert to fraction form
    1,062.38/1,594.19 = 446.04/x
  3. Step 3: Cross multiply
    1,062.38x = 1,594.19 × 446.04
  4. Step 4: Simplify right side
    1,062.38x = 711,069.77
  5. Step 5: Solve for x
    x = 711,069.77/1,062.38
  6. Step 6: Final answer
    x = 669.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.