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Finding the Fourth Proportional to 775.42, 1,069.59 and 509.88

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Solution

The fourth proportional to 775.42, 1,069.59 and 509.88 is: 703.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.42 : 1,069.59 = 509.88 : x
  2. Step 2: Convert to fraction form
    775.42/1,069.59 = 509.88/x
  3. Step 3: Cross multiply
    775.42x = 1,069.59 × 509.88
  4. Step 4: Simplify right side
    775.42x = 545,359.59
  5. Step 5: Solve for x
    x = 545,359.59/775.42
  6. Step 6: Final answer
    x = 703.31

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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.