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Finding the Fourth Proportional to 1,465.52, 2,197.94 and 425.29

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Solution

The fourth proportional to 1,465.52, 2,197.94 and 425.29 is: 637.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.52 : 2,197.94 = 425.29 : x
  2. Step 2: Convert to fraction form
    1,465.52/2,197.94 = 425.29/x
  3. Step 3: Cross multiply
    1,465.52x = 2,197.94 × 425.29
  4. Step 4: Simplify right side
    1,465.52x = 934,754.28
  5. Step 5: Solve for x
    x = 934,754.28/1,465.52
  6. Step 6: Final answer
    x = 637.83

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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.