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Finding the Fourth Proportional to 1,110.93, 1,663.54 and 1,078.08

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Solution

The fourth proportional to 1,110.93, 1,663.54 and 1,078.08 is: 1,614.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.93 : 1,663.54 = 1,078.08 : x
  2. Step 2: Convert to fraction form
    1,110.93/1,663.54 = 1,078.08/x
  3. Step 3: Cross multiply
    1,110.93x = 1,663.54 × 1,078.08
  4. Step 4: Simplify right side
    1,110.93x = 1,793,415.50
  5. Step 5: Solve for x
    x = 1,793,415.50/1,110.93
  6. Step 6: Final answer
    x = 1,614.34

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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.