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Finding the Fourth Proportional to 1,083.93, 1,496.32 and 691.49

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Solution

The fourth proportional to 1,083.93, 1,496.32 and 691.49 is: 954.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.93 : 1,496.32 = 691.49 : x
  2. Step 2: Convert to fraction form
    1,083.93/1,496.32 = 691.49/x
  3. Step 3: Cross multiply
    1,083.93x = 1,496.32 × 691.49
  4. Step 4: Simplify right side
    1,083.93x = 1,034,690.32
  5. Step 5: Solve for x
    x = 1,034,690.32/1,083.93
  6. Step 6: Final answer
    x = 954.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.