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Finding the Fourth Proportional to 1,459.17, 2,188.09 and 418.93

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Solution

The fourth proportional to 1,459.17, 2,188.09 and 418.93 is: 628.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.17 : 2,188.09 = 418.93 : x
  2. Step 2: Convert to fraction form
    1,459.17/2,188.09 = 418.93/x
  3. Step 3: Cross multiply
    1,459.17x = 2,188.09 × 418.93
  4. Step 4: Simplify right side
    1,459.17x = 916,656.54
  5. Step 5: Solve for x
    x = 916,656.54/1,459.17
  6. Step 6: Final answer
    x = 628.21

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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.