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Finding the Fourth Proportional to 1,066.83, 1,600.53 and 489.57

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Solution

The fourth proportional to 1,066.83, 1,600.53 and 489.57 is: 734.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.83 : 1,600.53 = 489.57 : x
  2. Step 2: Convert to fraction form
    1,066.83/1,600.53 = 489.57/x
  3. Step 3: Cross multiply
    1,066.83x = 1,600.53 × 489.57
  4. Step 4: Simplify right side
    1,066.83x = 783,571.47
  5. Step 5: Solve for x
    x = 783,571.47/1,066.83
  6. Step 6: Final answer
    x = 734.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.