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Finding the Fourth Proportional to 937.10, 1,405.14 and 782.19

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Solution

The fourth proportional to 937.10, 1,405.14 and 782.19 is: 1,172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.10 : 1,405.14 = 782.19 : x
  2. Step 2: Convert to fraction form
    937.10/1,405.14 = 782.19/x
  3. Step 3: Cross multiply
    937.10x = 1,405.14 × 782.19
  4. Step 4: Simplify right side
    937.10x = 1,099,079.43
  5. Step 5: Solve for x
    x = 1,099,079.43/937.10
  6. Step 6: Final answer
    x = 1,172.85

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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.