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Finding the Fourth Proportional to 1,756.34, 2,634.67 and 716.42

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Solution

The fourth proportional to 1,756.34, 2,634.67 and 716.42 is: 1,074.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.34 : 2,634.67 = 716.42 : x
  2. Step 2: Convert to fraction form
    1,756.34/2,634.67 = 716.42/x
  3. Step 3: Cross multiply
    1,756.34x = 2,634.67 × 716.42
  4. Step 4: Simplify right side
    1,756.34x = 1,887,535.08
  5. Step 5: Solve for x
    x = 1,887,535.08/1,756.34
  6. Step 6: Final answer
    x = 1,074.70

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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.