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Finding the Fourth Proportional to 1,106.60, 1,658.55 and 489.65

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Solution

The fourth proportional to 1,106.60, 1,658.55 and 489.65 is: 733.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.60 : 1,658.55 = 489.65 : x
  2. Step 2: Convert to fraction form
    1,106.60/1,658.55 = 489.65/x
  3. Step 3: Cross multiply
    1,106.60x = 1,658.55 × 489.65
  4. Step 4: Simplify right side
    1,106.60x = 812,109.01
  5. Step 5: Solve for x
    x = 812,109.01/1,106.60
  6. Step 6: Final answer
    x = 733.88

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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.