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Finding the Fourth Proportional to 1,107.74, 1,658.64 and 586.66

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Solution

The fourth proportional to 1,107.74, 1,658.64 and 586.66 is: 878.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.74 : 1,658.64 = 586.66 : x
  2. Step 2: Convert to fraction form
    1,107.74/1,658.64 = 586.66/x
  3. Step 3: Cross multiply
    1,107.74x = 1,658.64 × 586.66
  4. Step 4: Simplify right side
    1,107.74x = 973,057.74
  5. Step 5: Solve for x
    x = 973,057.74/1,107.74
  6. Step 6: Final answer
    x = 878.42

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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.