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Finding the Fourth Proportional to 1,106.06, 1,658.88 and 489.65

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Solution

The fourth proportional to 1,106.06, 1,658.88 and 489.65 is: 734.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.06 : 1,658.88 = 489.65 : x
  2. Step 2: Convert to fraction form
    1,106.06/1,658.88 = 489.65/x
  3. Step 3: Cross multiply
    1,106.06x = 1,658.88 × 489.65
  4. Step 4: Simplify right side
    1,106.06x = 812,262.30
  5. Step 5: Solve for x
    x = 812,262.30/1,106.06
  6. Step 6: Final answer
    x = 734.38

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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.