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Finding the Fourth Proportional to 1,508.67, 2,264.54 and 778.77

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Solution

The fourth proportional to 1,508.67, 2,264.54 and 778.77 is: 1,168.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.67 : 2,264.54 = 778.77 : x
  2. Step 2: Convert to fraction form
    1,508.67/2,264.54 = 778.77/x
  3. Step 3: Cross multiply
    1,508.67x = 2,264.54 × 778.77
  4. Step 4: Simplify right side
    1,508.67x = 1,763,551.92
  5. Step 5: Solve for x
    x = 1,763,551.92/1,508.67
  6. Step 6: Final answer
    x = 1,168.94

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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.