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Finding the Fourth Proportional to 1,122.48, 1,682.51 and 732.77

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Solution

The fourth proportional to 1,122.48, 1,682.51 and 732.77 is: 1,098.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.48 : 1,682.51 = 732.77 : x
  2. Step 2: Convert to fraction form
    1,122.48/1,682.51 = 732.77/x
  3. Step 3: Cross multiply
    1,122.48x = 1,682.51 × 732.77
  4. Step 4: Simplify right side
    1,122.48x = 1,232,887.09
  5. Step 5: Solve for x
    x = 1,232,887.09/1,122.48
  6. Step 6: Final answer
    x = 1,098.36

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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.