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Finding the Fourth Proportional to 1,497.38, 2,246.09 and 572.95

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Solution

The fourth proportional to 1,497.38, 2,246.09 and 572.95 is: 859.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.38 : 2,246.09 = 572.95 : x
  2. Step 2: Convert to fraction form
    1,497.38/2,246.09 = 572.95/x
  3. Step 3: Cross multiply
    1,497.38x = 2,246.09 × 572.95
  4. Step 4: Simplify right side
    1,497.38x = 1,286,888.79
  5. Step 5: Solve for x
    x = 1,286,888.79/1,497.38
  6. Step 6: Final answer
    x = 859.43

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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.