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Finding the Fourth Proportional to 1,083.61, 1,496.07 and 751.91

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Solution

The fourth proportional to 1,083.61, 1,496.07 and 751.91 is: 1,038.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.61 : 1,496.07 = 751.91 : x
  2. Step 2: Convert to fraction form
    1,083.61/1,496.07 = 751.91/x
  3. Step 3: Cross multiply
    1,083.61x = 1,496.07 × 751.91
  4. Step 4: Simplify right side
    1,083.61x = 1,124,913.73
  5. Step 5: Solve for x
    x = 1,124,913.73/1,083.61
  6. Step 6: Final answer
    x = 1,038.12

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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.