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Finding the Fourth Proportional to 1,275.53, 1,759.91 and 716.01

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Solution

The fourth proportional to 1,275.53, 1,759.91 and 716.01 is: 987.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.53 : 1,759.91 = 716.01 : x
  2. Step 2: Convert to fraction form
    1,275.53/1,759.91 = 716.01/x
  3. Step 3: Cross multiply
    1,275.53x = 1,759.91 × 716.01
  4. Step 4: Simplify right side
    1,275.53x = 1,260,109.58
  5. Step 5: Solve for x
    x = 1,260,109.58/1,275.53
  6. Step 6: Final answer
    x = 987.91

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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.