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Finding the Fourth Proportional to 759.95, 1,140 and 693.14

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Solution

The fourth proportional to 759.95, 1,140 and 693.14 is: 1,039.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.95 : 1,140 = 693.14 : x
  2. Step 2: Convert to fraction form
    759.95/1,140 = 693.14/x
  3. Step 3: Cross multiply
    759.95x = 1,140 × 693.14
  4. Step 4: Simplify right side
    759.95x = 790,173.90
  5. Step 5: Solve for x
    x = 790,173.90/759.95
  6. Step 6: Final answer
    x = 1,039.78

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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.