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Finding the Fourth Proportional to 1,233.84, 1,851.08 and 368.16

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Solution

The fourth proportional to 1,233.84, 1,851.08 and 368.16 is: 552.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.84 : 1,851.08 = 368.16 : x
  2. Step 2: Convert to fraction form
    1,233.84/1,851.08 = 368.16/x
  3. Step 3: Cross multiply
    1,233.84x = 1,851.08 × 368.16
  4. Step 4: Simplify right side
    1,233.84x = 681,493.61
  5. Step 5: Solve for x
    x = 681,493.61/1,233.84
  6. Step 6: Final answer
    x = 552.34

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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.