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Finding the Fourth Proportional to 1,137.68, 1,706.16 and 368

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Solution

The fourth proportional to 1,137.68, 1,706.16 and 368 is: 551.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.68 : 1,706.16 = 368 : x
  2. Step 2: Convert to fraction form
    1,137.68/1,706.16 = 368/x
  3. Step 3: Cross multiply
    1,137.68x = 1,706.16 × 368
  4. Step 4: Simplify right side
    1,137.68x = 627,866.88
  5. Step 5: Solve for x
    x = 627,866.88/1,137.68
  6. Step 6: Final answer
    x = 551.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.