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Finding the Fourth Proportional to 1,277.39, 1,762.35 and 717.78

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Solution

The fourth proportional to 1,277.39, 1,762.35 and 717.78 is: 990.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.39 : 1,762.35 = 717.78 : x
  2. Step 2: Convert to fraction form
    1,277.39/1,762.35 = 717.78/x
  3. Step 3: Cross multiply
    1,277.39x = 1,762.35 × 717.78
  4. Step 4: Simplify right side
    1,277.39x = 1,264,979.58
  5. Step 5: Solve for x
    x = 1,264,979.58/1,277.39
  6. Step 6: Final answer
    x = 990.29

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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.