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Finding the Fourth Proportional to 1,042.26, 1,566.36 and 972.12

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Solution

The fourth proportional to 1,042.26, 1,566.36 and 972.12 is: 1,460.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.26 : 1,566.36 = 972.12 : x
  2. Step 2: Convert to fraction form
    1,042.26/1,566.36 = 972.12/x
  3. Step 3: Cross multiply
    1,042.26x = 1,566.36 × 972.12
  4. Step 4: Simplify right side
    1,042.26x = 1,522,689.88
  5. Step 5: Solve for x
    x = 1,522,689.88/1,042.26
  6. Step 6: Final answer
    x = 1,460.95

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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.