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Finding the Fourth Proportional to 1,109.39, 1,663.89 and 368.93

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Solution

The fourth proportional to 1,109.39, 1,663.89 and 368.93 is: 553.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.39 : 1,663.89 = 368.93 : x
  2. Step 2: Convert to fraction form
    1,109.39/1,663.89 = 368.93/x
  3. Step 3: Cross multiply
    1,109.39x = 1,663.89 × 368.93
  4. Step 4: Simplify right side
    1,109.39x = 613,852.68
  5. Step 5: Solve for x
    x = 613,852.68/1,109.39
  6. Step 6: Final answer
    x = 553.32

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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.