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Finding the Fourth Proportional to 1,194.40, 1,791.53 and 710.53

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Solution

The fourth proportional to 1,194.40, 1,791.53 and 710.53 is: 1,065.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.40 : 1,791.53 = 710.53 : x
  2. Step 2: Convert to fraction form
    1,194.40/1,791.53 = 710.53/x
  3. Step 3: Cross multiply
    1,194.40x = 1,791.53 × 710.53
  4. Step 4: Simplify right side
    1,194.40x = 1,272,935.81
  5. Step 5: Solve for x
    x = 1,272,935.81/1,194.40
  6. Step 6: Final answer
    x = 1,065.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.