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Finding the Fourth Proportional to 1,497.15, 2,246.09 and 572.69

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Solution

The fourth proportional to 1,497.15, 2,246.09 and 572.69 is: 859.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.15 : 2,246.09 = 572.69 : x
  2. Step 2: Convert to fraction form
    1,497.15/2,246.09 = 572.69/x
  3. Step 3: Cross multiply
    1,497.15x = 2,246.09 × 572.69
  4. Step 4: Simplify right side
    1,497.15x = 1,286,316.03
  5. Step 5: Solve for x
    x = 1,286,316.03/1,497.15
  6. Step 6: Final answer
    x = 859.18

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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.