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Finding the Fourth Proportional to 1,147.28, 1,719.95 and 497.52

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Solution

The fourth proportional to 1,147.28, 1,719.95 and 497.52 is: 745.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.28 : 1,719.95 = 497.52 : x
  2. Step 2: Convert to fraction form
    1,147.28/1,719.95 = 497.52/x
  3. Step 3: Cross multiply
    1,147.28x = 1,719.95 × 497.52
  4. Step 4: Simplify right side
    1,147.28x = 855,707.04
  5. Step 5: Solve for x
    x = 855,707.04/1,147.28
  6. Step 6: Final answer
    x = 745.86

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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.