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Finding the Fourth Proportional to 1,433.45, 2,148.89 and 653.04

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Solution

The fourth proportional to 1,433.45, 2,148.89 and 653.04 is: 978.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.45 : 2,148.89 = 653.04 : x
  2. Step 2: Convert to fraction form
    1,433.45/2,148.89 = 653.04/x
  3. Step 3: Cross multiply
    1,433.45x = 2,148.89 × 653.04
  4. Step 4: Simplify right side
    1,433.45x = 1,403,311.13
  5. Step 5: Solve for x
    x = 1,403,311.13/1,433.45
  6. Step 6: Final answer
    x = 978.97

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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.