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Finding the Fourth Proportional to 939.51, 1,405.89 and 742.77

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Solution

The fourth proportional to 939.51, 1,405.89 and 742.77 is: 1,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.51 : 1,405.89 = 742.77 : x
  2. Step 2: Convert to fraction form
    939.51/1,405.89 = 742.77/x
  3. Step 3: Cross multiply
    939.51x = 1,405.89 × 742.77
  4. Step 4: Simplify right side
    939.51x = 1,044,252.92
  5. Step 5: Solve for x
    x = 1,044,252.92/939.51
  6. Step 6: Final answer
    x = 1,111.49

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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.