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Finding the Fourth Proportional to 972.26, 1,458.38 and 540.32

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Solution

The fourth proportional to 972.26, 1,458.38 and 540.32 is: 810.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.26 : 1,458.38 = 540.32 : x
  2. Step 2: Convert to fraction form
    972.26/1,458.38 = 540.32/x
  3. Step 3: Cross multiply
    972.26x = 1,458.38 × 540.32
  4. Step 4: Simplify right side
    972.26x = 787,981.89
  5. Step 5: Solve for x
    x = 787,981.89/972.26
  6. Step 6: Final answer
    x = 810.47

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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.