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Finding the Fourth Proportional to 1,112.78, 1,534.88 and 719.70

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Solution

The fourth proportional to 1,112.78, 1,534.88 and 719.70 is: 992.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.78 : 1,534.88 = 719.70 : x
  2. Step 2: Convert to fraction form
    1,112.78/1,534.88 = 719.70/x
  3. Step 3: Cross multiply
    1,112.78x = 1,534.88 × 719.70
  4. Step 4: Simplify right side
    1,112.78x = 1,104,653.14
  5. Step 5: Solve for x
    x = 1,104,653.14/1,112.78
  6. Step 6: Final answer
    x = 992.70

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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.