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Finding the Fourth Proportional to 1,106.13, 1,658.12 and 489.99

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Solution

The fourth proportional to 1,106.13, 1,658.12 and 489.99 is: 734.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.13 : 1,658.12 = 489.99 : x
  2. Step 2: Convert to fraction form
    1,106.13/1,658.12 = 489.99/x
  3. Step 3: Cross multiply
    1,106.13x = 1,658.12 × 489.99
  4. Step 4: Simplify right side
    1,106.13x = 812,459.77
  5. Step 5: Solve for x
    x = 812,459.77/1,106.13
  6. Step 6: Final answer
    x = 734.51

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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.