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Finding the Fourth Proportional to 1,275.78, 1,910.58 and 649.44

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Solution

The fourth proportional to 1,275.78, 1,910.58 and 649.44 is: 972.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.78 : 1,910.58 = 649.44 : x
  2. Step 2: Convert to fraction form
    1,275.78/1,910.58 = 649.44/x
  3. Step 3: Cross multiply
    1,275.78x = 1,910.58 × 649.44
  4. Step 4: Simplify right side
    1,275.78x = 1,240,807.08
  5. Step 5: Solve for x
    x = 1,240,807.08/1,275.78
  6. Step 6: Final answer
    x = 972.59

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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.