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Finding the Fourth Proportional to 1,459.20, 2,189.06 and 557.57

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Solution

The fourth proportional to 1,459.20, 2,189.06 and 557.57 is: 836.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.20 : 2,189.06 = 557.57 : x
  2. Step 2: Convert to fraction form
    1,459.20/2,189.06 = 557.57/x
  3. Step 3: Cross multiply
    1,459.20x = 2,189.06 × 557.57
  4. Step 4: Simplify right side
    1,459.20x = 1,220,554.18
  5. Step 5: Solve for x
    x = 1,220,554.18/1,459.20
  6. Step 6: Final answer
    x = 836.45

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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.