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Finding the Fourth Proportional to 1,149.45, 1,724.16 and 283.77

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Solution

The fourth proportional to 1,149.45, 1,724.16 and 283.77 is: 425.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.45 : 1,724.16 = 283.77 : x
  2. Step 2: Convert to fraction form
    1,149.45/1,724.16 = 283.77/x
  3. Step 3: Cross multiply
    1,149.45x = 1,724.16 × 283.77
  4. Step 4: Simplify right side
    1,149.45x = 489,264.88
  5. Step 5: Solve for x
    x = 489,264.88/1,149.45
  6. Step 6: Final answer
    x = 425.65

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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.