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Finding the Fourth Proportional to 1,014.03, 1,523.48 and 649.53

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Solution

The fourth proportional to 1,014.03, 1,523.48 and 649.53 is: 975.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.03 : 1,523.48 = 649.53 : x
  2. Step 2: Convert to fraction form
    1,014.03/1,523.48 = 649.53/x
  3. Step 3: Cross multiply
    1,014.03x = 1,523.48 × 649.53
  4. Step 4: Simplify right side
    1,014.03x = 989,542.72
  5. Step 5: Solve for x
    x = 989,542.72/1,014.03
  6. Step 6: Final answer
    x = 975.85

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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.