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Finding the Fourth Proportional to 1,543.84, 2,316.02 and 489.73

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Solution

The fourth proportional to 1,543.84, 2,316.02 and 489.73 is: 734.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.84 : 2,316.02 = 489.73 : x
  2. Step 2: Convert to fraction form
    1,543.84/2,316.02 = 489.73/x
  3. Step 3: Cross multiply
    1,543.84x = 2,316.02 × 489.73
  4. Step 4: Simplify right side
    1,543.84x = 1,134,222.03
  5. Step 5: Solve for x
    x = 1,134,222.03/1,543.84
  6. Step 6: Final answer
    x = 734.68

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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.