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Finding the Fourth Proportional to 1,062.86, 1,594.43 and 446.18

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Solution

The fourth proportional to 1,062.86, 1,594.43 and 446.18 is: 669.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.86 : 1,594.43 = 446.18 : x
  2. Step 2: Convert to fraction form
    1,062.86/1,594.43 = 446.18/x
  3. Step 3: Cross multiply
    1,062.86x = 1,594.43 × 446.18
  4. Step 4: Simplify right side
    1,062.86x = 711,395.92
  5. Step 5: Solve for x
    x = 711,395.92/1,062.86
  6. Step 6: Final answer
    x = 669.33

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