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Finding the Fourth Proportional to 1,756.94, 2,633.58 and 716.54

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Solution

The fourth proportional to 1,756.94, 2,633.58 and 716.54 is: 1,074.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.94 : 2,633.58 = 716.54 : x
  2. Step 2: Convert to fraction form
    1,756.94/2,633.58 = 716.54/x
  3. Step 3: Cross multiply
    1,756.94x = 2,633.58 × 716.54
  4. Step 4: Simplify right side
    1,756.94x = 1,887,065.41
  5. Step 5: Solve for x
    x = 1,887,065.41/1,756.94
  6. Step 6: Final answer
    x = 1,074.06

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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.