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Finding the Fourth Proportional to 937.77, 1,295.66 and 740.94

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Solution

The fourth proportional to 937.77, 1,295.66 and 740.94 is: 1,023.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.77 : 1,295.66 = 740.94 : x
  2. Step 2: Convert to fraction form
    937.77/1,295.66 = 740.94/x
  3. Step 3: Cross multiply
    937.77x = 1,295.66 × 740.94
  4. Step 4: Simplify right side
    937.77x = 960,006.32
  5. Step 5: Solve for x
    x = 960,006.32/937.77
  6. Step 6: Final answer
    x = 1,023.71

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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.