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Finding the Fourth Proportional to 972.51, 1,458.87 and 452.55

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Solution

The fourth proportional to 972.51, 1,458.87 and 452.55 is: 678.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.51 : 1,458.87 = 452.55 : x
  2. Step 2: Convert to fraction form
    972.51/1,458.87 = 452.55/x
  3. Step 3: Cross multiply
    972.51x = 1,458.87 × 452.55
  4. Step 4: Simplify right side
    972.51x = 660,211.62
  5. Step 5: Solve for x
    x = 660,211.62/972.51
  6. Step 6: Final answer
    x = 678.87

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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.