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Finding the Fourth Proportional to 1,433.45, 2,150.19 and 508.97

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Solution

The fourth proportional to 1,433.45, 2,150.19 and 508.97 is: 763.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.45 : 2,150.19 = 508.97 : x
  2. Step 2: Convert to fraction form
    1,433.45/2,150.19 = 508.97/x
  3. Step 3: Cross multiply
    1,433.45x = 2,150.19 × 508.97
  4. Step 4: Simplify right side
    1,433.45x = 1,094,387.58
  5. Step 5: Solve for x
    x = 1,094,387.58/1,433.45
  6. Step 6: Final answer
    x = 763.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.