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Finding the Fourth Proportional to 937.02, 1,405.92 and 918.30

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Solution

The fourth proportional to 937.02, 1,405.92 and 918.30 is: 1,377.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.02 : 1,405.92 = 918.30 : x
  2. Step 2: Convert to fraction form
    937.02/1,405.92 = 918.30/x
  3. Step 3: Cross multiply
    937.02x = 1,405.92 × 918.30
  4. Step 4: Simplify right side
    937.02x = 1,291,056.34
  5. Step 5: Solve for x
    x = 1,291,056.34/937.02
  6. Step 6: Final answer
    x = 1,377.83

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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.