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Finding the Fourth Proportional to 1,113.44, 1,534.96 and 780.84

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Solution

The fourth proportional to 1,113.44, 1,534.96 and 780.84 is: 1,076.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.44 : 1,534.96 = 780.84 : x
  2. Step 2: Convert to fraction form
    1,113.44/1,534.96 = 780.84/x
  3. Step 3: Cross multiply
    1,113.44x = 1,534.96 × 780.84
  4. Step 4: Simplify right side
    1,113.44x = 1,198,558.17
  5. Step 5: Solve for x
    x = 1,198,558.17/1,113.44
  6. Step 6: Final answer
    x = 1,076.45

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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.