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Finding the Fourth Proportional to 1,277.75, 1,763.47 and 718.35

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Solution

The fourth proportional to 1,277.75, 1,763.47 and 718.35 is: 991.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.75 : 1,763.47 = 718.35 : x
  2. Step 2: Convert to fraction form
    1,277.75/1,763.47 = 718.35/x
  3. Step 3: Cross multiply
    1,277.75x = 1,763.47 × 718.35
  4. Step 4: Simplify right side
    1,277.75x = 1,266,788.67
  5. Step 5: Solve for x
    x = 1,266,788.67/1,277.75
  6. Step 6: Final answer
    x = 991.42

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1.5x scale

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.