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Finding the Fourth Proportional to 1,599.85, 2,400.24 and 778.59

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Solution

The fourth proportional to 1,599.85, 2,400.24 and 778.59 is: 1,168.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.85 : 2,400.24 = 778.59 : x
  2. Step 2: Convert to fraction form
    1,599.85/2,400.24 = 778.59/x
  3. Step 3: Cross multiply
    1,599.85x = 2,400.24 × 778.59
  4. Step 4: Simplify right side
    1,599.85x = 1,868,802.86
  5. Step 5: Solve for x
    x = 1,868,802.86/1,599.85
  6. Step 6: Final answer
    x = 1,168.11

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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.