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Finding the Fourth Proportional to 1,277.50, 1,762.95 and 717.96

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Solution

The fourth proportional to 1,277.50, 1,762.95 and 717.96 is: 990.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.50 : 1,762.95 = 717.96 : x
  2. Step 2: Convert to fraction form
    1,277.50/1,762.95 = 717.96/x
  3. Step 3: Cross multiply
    1,277.50x = 1,762.95 × 717.96
  4. Step 4: Simplify right side
    1,277.50x = 1,265,727.58
  5. Step 5: Solve for x
    x = 1,265,727.58/1,277.50
  6. Step 6: Final answer
    x = 990.78

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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.