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Finding the Fourth Proportional to 775.86, 1,070.18 and 495.99

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Solution

The fourth proportional to 775.86, 1,070.18 and 495.99 is: 684.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.86 : 1,070.18 = 495.99 : x
  2. Step 2: Convert to fraction form
    775.86/1,070.18 = 495.99/x
  3. Step 3: Cross multiply
    775.86x = 1,070.18 × 495.99
  4. Step 4: Simplify right side
    775.86x = 530,797.96
  5. Step 5: Solve for x
    x = 530,797.96/775.86
  6. Step 6: Final answer
    x = 684.14

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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.