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Finding the Fourth Proportional to 972.06, 1,458.12 and 423.96

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Solution

The fourth proportional to 972.06, 1,458.12 and 423.96 is: 635.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.06 : 1,458.12 = 423.96 : x
  2. Step 2: Convert to fraction form
    972.06/1,458.12 = 423.96/x
  3. Step 3: Cross multiply
    972.06x = 1,458.12 × 423.96
  4. Step 4: Simplify right side
    972.06x = 618,184.56
  5. Step 5: Solve for x
    x = 618,184.56/972.06
  6. Step 6: Final answer
    x = 635.95

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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.