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Finding the Fourth Proportional to 1,277.61, 1,763.08 and 718.08

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Solution

The fourth proportional to 1,277.61, 1,763.08 and 718.08 is: 990.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.61 : 1,763.08 = 718.08 : x
  2. Step 2: Convert to fraction form
    1,277.61/1,763.08 = 718.08/x
  3. Step 3: Cross multiply
    1,277.61x = 1,763.08 × 718.08
  4. Step 4: Simplify right side
    1,277.61x = 1,266,028.90
  5. Step 5: Solve for x
    x = 1,266,028.90/1,277.61
  6. Step 6: Final answer
    x = 990.94

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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.