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Finding the Fourth Proportional to 775.93, 1,071.07 and 514.03

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Solution

The fourth proportional to 775.93, 1,071.07 and 514.03 is: 709.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.93 : 1,071.07 = 514.03 : x
  2. Step 2: Convert to fraction form
    775.93/1,071.07 = 514.03/x
  3. Step 3: Cross multiply
    775.93x = 1,071.07 × 514.03
  4. Step 4: Simplify right side
    775.93x = 550,562.11
  5. Step 5: Solve for x
    x = 550,562.11/775.93
  6. Step 6: Final answer
    x = 709.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.