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Finding the Fourth Proportional to 1,497.15, 2,245.68 and 457.11

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Solution

The fourth proportional to 1,497.15, 2,245.68 and 457.11 is: 685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.15 : 2,245.68 = 457.11 : x
  2. Step 2: Convert to fraction form
    1,497.15/2,245.68 = 457.11/x
  3. Step 3: Cross multiply
    1,497.15x = 2,245.68 × 457.11
  4. Step 4: Simplify right side
    1,497.15x = 1,026,522.78
  5. Step 5: Solve for x
    x = 1,026,522.78/1,497.15
  6. Step 6: Final answer
    x = 685.65

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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.