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Finding the Fourth Proportional to 1,062.94, 1,594.71 and 446.33

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Solution

The fourth proportional to 1,062.94, 1,594.71 and 446.33 is: 669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.94 : 1,594.71 = 446.33 : x
  2. Step 2: Convert to fraction form
    1,062.94/1,594.71 = 446.33/x
  3. Step 3: Cross multiply
    1,062.94x = 1,594.71 × 446.33
  4. Step 4: Simplify right side
    1,062.94x = 711,763.19
  5. Step 5: Solve for x
    x = 711,763.19/1,062.94
  6. Step 6: Final answer
    x = 669.62

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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.