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Finding the Fourth Proportional to 759.54, 1,138.30 and 707.70

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Solution

The fourth proportional to 759.54, 1,138.30 and 707.70 is: 1,060.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.54 : 1,138.30 = 707.70 : x
  2. Step 2: Convert to fraction form
    759.54/1,138.30 = 707.70/x
  3. Step 3: Cross multiply
    759.54x = 1,138.30 × 707.70
  4. Step 4: Simplify right side
    759.54x = 805,573.14
  5. Step 5: Solve for x
    x = 805,573.14/759.54
  6. Step 6: Final answer
    x = 1,060.61

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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.