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Finding the Fourth Proportional to 775.18, 1,156.73 and 706.18

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Solution

The fourth proportional to 775.18, 1,156.73 and 706.18 is: 1,053.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.18 : 1,156.73 = 706.18 : x
  2. Step 2: Convert to fraction form
    775.18/1,156.73 = 706.18/x
  3. Step 3: Cross multiply
    775.18x = 1,156.73 × 706.18
  4. Step 4: Simplify right side
    775.18x = 816,859.59
  5. Step 5: Solve for x
    x = 816,859.59/775.18
  6. Step 6: Final answer
    x = 1,053.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.