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Finding the Fourth Proportional to 1,106.12, 1,658.27 and 520.83

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Solution

The fourth proportional to 1,106.12, 1,658.27 and 520.83 is: 780.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.12 : 1,658.27 = 520.83 : x
  2. Step 2: Convert to fraction form
    1,106.12/1,658.27 = 520.83/x
  3. Step 3: Cross multiply
    1,106.12x = 1,658.27 × 520.83
  4. Step 4: Simplify right side
    1,106.12x = 863,674.16
  5. Step 5: Solve for x
    x = 863,674.16/1,106.12
  6. Step 6: Final answer
    x = 780.82

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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.