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Finding the Fourth Proportional to 1,130.76, 1,696.14 and 822.78

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Solution

The fourth proportional to 1,130.76, 1,696.14 and 822.78 is: 1,234.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.76 : 1,696.14 = 822.78 : x
  2. Step 2: Convert to fraction form
    1,130.76/1,696.14 = 822.78/x
  3. Step 3: Cross multiply
    1,130.76x = 1,696.14 × 822.78
  4. Step 4: Simplify right side
    1,130.76x = 1,395,550.07
  5. Step 5: Solve for x
    x = 1,395,550.07/1,130.76
  6. Step 6: Final answer
    x = 1,234.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.