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Finding the Fourth Proportional to 912.62, 1,368.93 and 392.58

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Solution

The fourth proportional to 912.62, 1,368.93 and 392.58 is: 588.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.62 : 1,368.93 = 392.58 : x
  2. Step 2: Convert to fraction form
    912.62/1,368.93 = 392.58/x
  3. Step 3: Cross multiply
    912.62x = 1,368.93 × 392.58
  4. Step 4: Simplify right side
    912.62x = 537,414.54
  5. Step 5: Solve for x
    x = 537,414.54/912.62
  6. Step 6: Final answer
    x = 588.87

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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.