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Finding the Fourth Proportional to 1,089.15, 1,502.77 and 735.73

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Solution

The fourth proportional to 1,089.15, 1,502.77 and 735.73 is: 1,015.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.15 : 1,502.77 = 735.73 : x
  2. Step 2: Convert to fraction form
    1,089.15/1,502.77 = 735.73/x
  3. Step 3: Cross multiply
    1,089.15x = 1,502.77 × 735.73
  4. Step 4: Simplify right side
    1,089.15x = 1,105,632.97
  5. Step 5: Solve for x
    x = 1,105,632.97/1,089.15
  6. Step 6: Final answer
    x = 1,015.13

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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.