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Finding the Fourth Proportional to 1,121.67, 1,682.28 and 705.02

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Solution

The fourth proportional to 1,121.67, 1,682.28 and 705.02 is: 1,057.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.67 : 1,682.28 = 705.02 : x
  2. Step 2: Convert to fraction form
    1,121.67/1,682.28 = 705.02/x
  3. Step 3: Cross multiply
    1,121.67x = 1,682.28 × 705.02
  4. Step 4: Simplify right side
    1,121.67x = 1,186,032.63
  5. Step 5: Solve for x
    x = 1,186,032.63/1,121.67
  6. Step 6: Final answer
    x = 1,057.38

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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.