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Finding the Fourth Proportional to 1,433.29, 2,150.09 and 508.83

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Solution

The fourth proportional to 1,433.29, 2,150.09 and 508.83 is: 763.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.29 : 2,150.09 = 508.83 : x
  2. Step 2: Convert to fraction form
    1,433.29/2,150.09 = 508.83/x
  3. Step 3: Cross multiply
    1,433.29x = 2,150.09 × 508.83
  4. Step 4: Simplify right side
    1,433.29x = 1,094,030.29
  5. Step 5: Solve for x
    x = 1,094,030.29/1,433.29
  6. Step 6: Final answer
    x = 763.30

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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.