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Finding the Fourth Proportional to 1,193.18, 1,796.78 and 1,040.93

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Solution

The fourth proportional to 1,193.18, 1,796.78 and 1,040.93 is: 1,567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.18 : 1,796.78 = 1,040.93 : x
  2. Step 2: Convert to fraction form
    1,193.18/1,796.78 = 1,040.93/x
  3. Step 3: Cross multiply
    1,193.18x = 1,796.78 × 1,040.93
  4. Step 4: Simplify right side
    1,193.18x = 1,870,308.02
  5. Step 5: Solve for x
    x = 1,870,308.02/1,193.18
  6. Step 6: Final answer
    x = 1,567.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.