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Finding the Fourth Proportional to 1,106.35, 1,658.61 and 489.87

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Solution

The fourth proportional to 1,106.35, 1,658.61 and 489.87 is: 734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.35 : 1,658.61 = 489.87 : x
  2. Step 2: Convert to fraction form
    1,106.35/1,658.61 = 489.87/x
  3. Step 3: Cross multiply
    1,106.35x = 1,658.61 × 489.87
  4. Step 4: Simplify right side
    1,106.35x = 812,503.28
  5. Step 5: Solve for x
    x = 812,503.28/1,106.35
  6. Step 6: Final answer
    x = 734.40

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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.