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Finding the Fourth Proportional to 1,697.16, 2,544.58 and 759.76

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Solution

The fourth proportional to 1,697.16, 2,544.58 and 759.76 is: 1,139.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.16 : 2,544.58 = 759.76 : x
  2. Step 2: Convert to fraction form
    1,697.16/2,544.58 = 759.76/x
  3. Step 3: Cross multiply
    1,697.16x = 2,544.58 × 759.76
  4. Step 4: Simplify right side
    1,697.16x = 1,933,270.10
  5. Step 5: Solve for x
    x = 1,933,270.10/1,697.16
  6. Step 6: Final answer
    x = 1,139.12

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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.