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Finding the Fourth Proportional to 759.01, 1,139.06 and 514.93

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Solution

The fourth proportional to 759.01, 1,139.06 and 514.93 is: 772.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.01 : 1,139.06 = 514.93 : x
  2. Step 2: Convert to fraction form
    759.01/1,139.06 = 514.93/x
  3. Step 3: Cross multiply
    759.01x = 1,139.06 × 514.93
  4. Step 4: Simplify right side
    759.01x = 586,536.17
  5. Step 5: Solve for x
    x = 586,536.17/759.01
  6. Step 6: Final answer
    x = 772.76

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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.