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Finding the Fourth Proportional to 972.09, 1,458.68 and 712.62

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Solution

The fourth proportional to 972.09, 1,458.68 and 712.62 is: 1,069.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.09 : 1,458.68 = 712.62 : x
  2. Step 2: Convert to fraction form
    972.09/1,458.68 = 712.62/x
  3. Step 3: Cross multiply
    972.09x = 1,458.68 × 712.62
  4. Step 4: Simplify right side
    972.09x = 1,039,480.98
  5. Step 5: Solve for x
    x = 1,039,480.98/972.09
  6. Step 6: Final answer
    x = 1,069.33

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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.