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Finding the Fourth Proportional to 1,106.69, 1,658.58 and 520.90

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Solution

The fourth proportional to 1,106.69, 1,658.58 and 520.90 is: 780.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.69 : 1,658.58 = 520.90 : x
  2. Step 2: Convert to fraction form
    1,106.69/1,658.58 = 520.90/x
  3. Step 3: Cross multiply
    1,106.69x = 1,658.58 × 520.90
  4. Step 4: Simplify right side
    1,106.69x = 863,949.69
  5. Step 5: Solve for x
    x = 863,949.69/1,106.69
  6. Step 6: Final answer
    x = 780.66

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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.