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Finding the Fourth Proportional to 972.15, 1,456.34 and 485.61

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Solution

The fourth proportional to 972.15, 1,456.34 and 485.61 is: 727.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.15 : 1,456.34 = 485.61 : x
  2. Step 2: Convert to fraction form
    972.15/1,456.34 = 485.61/x
  3. Step 3: Cross multiply
    972.15x = 1,456.34 × 485.61
  4. Step 4: Simplify right side
    972.15x = 707,210.84
  5. Step 5: Solve for x
    x = 707,210.84/972.15
  6. Step 6: Final answer
    x = 727.47

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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.