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Finding the Fourth Proportional to 1,106.07, 1,658.90 and 326.12

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Solution

The fourth proportional to 1,106.07, 1,658.90 and 326.12 is: 489.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.07 : 1,658.90 = 326.12 : x
  2. Step 2: Convert to fraction form
    1,106.07/1,658.90 = 326.12/x
  3. Step 3: Cross multiply
    1,106.07x = 1,658.90 × 326.12
  4. Step 4: Simplify right side
    1,106.07x = 540,990.54
  5. Step 5: Solve for x
    x = 540,990.54/1,106.07
  6. Step 6: Final answer
    x = 489.11

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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.