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Finding the Fourth Proportional to 1,039.40, 1,559.87 and 649.97

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Solution

The fourth proportional to 1,039.40, 1,559.87 and 649.97 is: 975.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.40 : 1,559.87 = 649.97 : x
  2. Step 2: Convert to fraction form
    1,039.40/1,559.87 = 649.97/x
  3. Step 3: Cross multiply
    1,039.40x = 1,559.87 × 649.97
  4. Step 4: Simplify right side
    1,039.40x = 1,013,868.70
  5. Step 5: Solve for x
    x = 1,013,868.70/1,039.40
  6. Step 6: Final answer
    x = 975.44

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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.