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Finding the Fourth Proportional to 972.88, 1,458.50 and 452.61

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Solution

The fourth proportional to 972.88, 1,458.50 and 452.61 is: 678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.88 : 1,458.50 = 452.61 : x
  2. Step 2: Convert to fraction form
    972.88/1,458.50 = 452.61/x
  3. Step 3: Cross multiply
    972.88x = 1,458.50 × 452.61
  4. Step 4: Simplify right side
    972.88x = 660,129.42
  5. Step 5: Solve for x
    x = 660,129.42/972.88
  6. Step 6: Final answer
    x = 678.53

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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.