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Finding the Fourth Proportional to 745.02, 1,116.96 and 282.66

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Solution

The fourth proportional to 745.02, 1,116.96 and 282.66 is: 423.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.02 : 1,116.96 = 282.66 : x
  2. Step 2: Convert to fraction form
    745.02/1,116.96 = 282.66/x
  3. Step 3: Cross multiply
    745.02x = 1,116.96 × 282.66
  4. Step 4: Simplify right side
    745.02x = 315,719.91
  5. Step 5: Solve for x
    x = 315,719.91/745.02
  6. Step 6: Final answer
    x = 423.77

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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.