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Finding the Fourth Proportional to 1,247.01, 1,720.78 and 687.45

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Solution

The fourth proportional to 1,247.01, 1,720.78 and 687.45 is: 948.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.01 : 1,720.78 = 687.45 : x
  2. Step 2: Convert to fraction form
    1,247.01/1,720.78 = 687.45/x
  3. Step 3: Cross multiply
    1,247.01x = 1,720.78 × 687.45
  4. Step 4: Simplify right side
    1,247.01x = 1,182,950.21
  5. Step 5: Solve for x
    x = 1,182,950.21/1,247.01
  6. Step 6: Final answer
    x = 948.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.