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Finding the Fourth Proportional to 775.14, 1,069.89 and 509.46

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Solution

The fourth proportional to 775.14, 1,069.89 and 509.46 is: 703.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.14 : 1,069.89 = 509.46 : x
  2. Step 2: Convert to fraction form
    775.14/1,069.89 = 509.46/x
  3. Step 3: Cross multiply
    775.14x = 1,069.89 × 509.46
  4. Step 4: Simplify right side
    775.14x = 545,066.16
  5. Step 5: Solve for x
    x = 545,066.16/775.14
  6. Step 6: Final answer
    x = 703.18

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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.