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Finding the Fourth Proportional to 1,137, 1,705.90 and 552.18

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Solution

The fourth proportional to 1,137, 1,705.90 and 552.18 is: 828.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137 : 1,705.90 = 552.18 : x
  2. Step 2: Convert to fraction form
    1,137/1,705.90 = 552.18/x
  3. Step 3: Cross multiply
    1,137x = 1,705.90 × 552.18
  4. Step 4: Simplify right side
    1,137x = 941,963.86
  5. Step 5: Solve for x
    x = 941,963.86/1,137
  6. Step 6: Final answer
    x = 828.46

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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.