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Finding the Fourth Proportional to 912.38, 1,368.57 and 546.71

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Solution

The fourth proportional to 912.38, 1,368.57 and 546.71 is: 820.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.38 : 1,368.57 = 546.71 : x
  2. Step 2: Convert to fraction form
    912.38/1,368.57 = 546.71/x
  3. Step 3: Cross multiply
    912.38x = 1,368.57 × 546.71
  4. Step 4: Simplify right side
    912.38x = 748,210.90
  5. Step 5: Solve for x
    x = 748,210.90/912.38
  6. Step 6: Final answer
    x = 820.07

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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.