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Finding the Fourth Proportional to 937.65, 1,405.24 and 678.52

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Solution

The fourth proportional to 937.65, 1,405.24 and 678.52 is: 1,016.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.65 : 1,405.24 = 678.52 : x
  2. Step 2: Convert to fraction form
    937.65/1,405.24 = 678.52/x
  3. Step 3: Cross multiply
    937.65x = 1,405.24 × 678.52
  4. Step 4: Simplify right side
    937.65x = 953,483.44
  5. Step 5: Solve for x
    x = 953,483.44/937.65
  6. Step 6: Final answer
    x = 1,016.89

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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.