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Finding the Fourth Proportional to 1,277.38, 1,762.72 and 717.87

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Solution

The fourth proportional to 1,277.38, 1,762.72 and 717.87 is: 990.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.38 : 1,762.72 = 717.87 : x
  2. Step 2: Convert to fraction form
    1,277.38/1,762.72 = 717.87/x
  3. Step 3: Cross multiply
    1,277.38x = 1,762.72 × 717.87
  4. Step 4: Simplify right side
    1,277.38x = 1,265,403.81
  5. Step 5: Solve for x
    x = 1,265,403.81/1,277.38
  6. Step 6: Final answer
    x = 990.62

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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.