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Finding the Fourth Proportional to 811.16, 1,119.10 and 562.70

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Solution

The fourth proportional to 811.16, 1,119.10 and 562.70 is: 776.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.16 : 1,119.10 = 562.70 : x
  2. Step 2: Convert to fraction form
    811.16/1,119.10 = 562.70/x
  3. Step 3: Cross multiply
    811.16x = 1,119.10 × 562.70
  4. Step 4: Simplify right side
    811.16x = 629,717.57
  5. Step 5: Solve for x
    x = 629,717.57/811.16
  6. Step 6: Final answer
    x = 776.32

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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.