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Finding the Fourth Proportional to 1,162.92, 1,745.01 and 469.92

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Solution

The fourth proportional to 1,162.92, 1,745.01 and 469.92 is: 705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.92 : 1,745.01 = 469.92 : x
  2. Step 2: Convert to fraction form
    1,162.92/1,745.01 = 469.92/x
  3. Step 3: Cross multiply
    1,162.92x = 1,745.01 × 469.92
  4. Step 4: Simplify right side
    1,162.92x = 820,015.10
  5. Step 5: Solve for x
    x = 820,015.10/1,162.92
  6. Step 6: Final answer
    x = 705.13

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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.