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Finding the Fourth Proportional to 1,277.06, 1,762.42 and 717.68

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Solution

The fourth proportional to 1,277.06, 1,762.42 and 717.68 is: 990.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.06 : 1,762.42 = 717.68 : x
  2. Step 2: Convert to fraction form
    1,277.06/1,762.42 = 717.68/x
  3. Step 3: Cross multiply
    1,277.06x = 1,762.42 × 717.68
  4. Step 4: Simplify right side
    1,277.06x = 1,264,853.59
  5. Step 5: Solve for x
    x = 1,264,853.59/1,277.06
  6. Step 6: Final answer
    x = 990.44

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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.