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Finding the Fourth Proportional to 937.76, 1,293.30 and 740.93

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Solution

The fourth proportional to 937.76, 1,293.30 and 740.93 is: 1,021.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.76 : 1,293.30 = 740.93 : x
  2. Step 2: Convert to fraction form
    937.76/1,293.30 = 740.93/x
  3. Step 3: Cross multiply
    937.76x = 1,293.30 × 740.93
  4. Step 4: Simplify right side
    937.76x = 958,238.30
  5. Step 5: Solve for x
    x = 958,238.30/937.76
  6. Step 6: Final answer
    x = 1,021.84

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