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Finding the Fourth Proportional to 972.62, 1,458.93 and 452.33

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Solution

The fourth proportional to 972.62, 1,458.93 and 452.33 is: 678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.62 : 1,458.93 = 452.33 : x
  2. Step 2: Convert to fraction form
    972.62/1,458.93 = 452.33/x
  3. Step 3: Cross multiply
    972.62x = 1,458.93 × 452.33
  4. Step 4: Simplify right side
    972.62x = 659,920.67
  5. Step 5: Solve for x
    x = 659,920.67/972.62
  6. Step 6: Final answer
    x = 678.50

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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.