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Finding the Fourth Proportional to 745.02, 1,116.84 and 397.83

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Solution

The fourth proportional to 745.02, 1,116.84 and 397.83 is: 596.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.02 : 1,116.84 = 397.83 : x
  2. Step 2: Convert to fraction form
    745.02/1,116.84 = 397.83/x
  3. Step 3: Cross multiply
    745.02x = 1,116.84 × 397.83
  4. Step 4: Simplify right side
    745.02x = 444,312.46
  5. Step 5: Solve for x
    x = 444,312.46/745.02
  6. Step 6: Final answer
    x = 596.38

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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.