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Finding the Fourth Proportional to 1,275.52, 1,908.24 and 698.80

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Solution

The fourth proportional to 1,275.52, 1,908.24 and 698.80 is: 1,045.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.52 : 1,908.24 = 698.80 : x
  2. Step 2: Convert to fraction form
    1,275.52/1,908.24 = 698.80/x
  3. Step 3: Cross multiply
    1,275.52x = 1,908.24 × 698.80
  4. Step 4: Simplify right side
    1,275.52x = 1,333,478.11
  5. Step 5: Solve for x
    x = 1,333,478.11/1,275.52
  6. Step 6: Final answer
    x = 1,045.44

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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.