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Finding the Fourth Proportional to 775.13, 1,070.01 and 495.74

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Solution

The fourth proportional to 775.13, 1,070.01 and 495.74 is: 684.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.13 : 1,070.01 = 495.74 : x
  2. Step 2: Convert to fraction form
    775.13/1,070.01 = 495.74/x
  3. Step 3: Cross multiply
    775.13x = 1,070.01 × 495.74
  4. Step 4: Simplify right side
    775.13x = 530,446.76
  5. Step 5: Solve for x
    x = 530,446.76/775.13
  6. Step 6: Final answer
    x = 684.33

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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.