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Finding the Fourth Proportional to 1,459.72, 2,188.86 and 534.61

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Solution

The fourth proportional to 1,459.72, 2,188.86 and 534.61 is: 801.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.72 : 2,188.86 = 534.61 : x
  2. Step 2: Convert to fraction form
    1,459.72/2,188.86 = 534.61/x
  3. Step 3: Cross multiply
    1,459.72x = 2,188.86 × 534.61
  4. Step 4: Simplify right side
    1,459.72x = 1,170,186.44
  5. Step 5: Solve for x
    x = 1,170,186.44/1,459.72
  6. Step 6: Final answer
    x = 801.65

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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.