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Finding the Fourth Proportional to 912.15, 1,367.62 and 392.13

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Solution

The fourth proportional to 912.15, 1,367.62 and 392.13 is: 587.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.15 : 1,367.62 = 392.13 : x
  2. Step 2: Convert to fraction form
    912.15/1,367.62 = 392.13/x
  3. Step 3: Cross multiply
    912.15x = 1,367.62 × 392.13
  4. Step 4: Simplify right side
    912.15x = 536,283.85
  5. Step 5: Solve for x
    x = 536,283.85/912.15
  6. Step 6: Final answer
    x = 587.93

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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.