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Finding the Fourth Proportional to 1,253.76, 1,880.08 and 668.65

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Solution

The fourth proportional to 1,253.76, 1,880.08 and 668.65 is: 1,002.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.76 : 1,880.08 = 668.65 : x
  2. Step 2: Convert to fraction form
    1,253.76/1,880.08 = 668.65/x
  3. Step 3: Cross multiply
    1,253.76x = 1,880.08 × 668.65
  4. Step 4: Simplify right side
    1,253.76x = 1,257,114.53
  5. Step 5: Solve for x
    x = 1,257,114.53/1,253.76
  6. Step 6: Final answer
    x = 1,002.68

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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.