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Finding the Fourth Proportional to 653.61, 981.55 and 489.13

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Solution

The fourth proportional to 653.61, 981.55 and 489.13 is: 734.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.61 : 981.55 = 489.13 : x
  2. Step 2: Convert to fraction form
    653.61/981.55 = 489.13/x
  3. Step 3: Cross multiply
    653.61x = 981.55 × 489.13
  4. Step 4: Simplify right side
    653.61x = 480,105.55
  5. Step 5: Solve for x
    x = 480,105.55/653.61
  6. Step 6: Final answer
    x = 734.54

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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.