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Finding the Fourth Proportional to 1,137.86, 1,706.72 and 407.24

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Solution

The fourth proportional to 1,137.86, 1,706.72 and 407.24 is: 610.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.86 : 1,706.72 = 407.24 : x
  2. Step 2: Convert to fraction form
    1,137.86/1,706.72 = 407.24/x
  3. Step 3: Cross multiply
    1,137.86x = 1,706.72 × 407.24
  4. Step 4: Simplify right side
    1,137.86x = 695,034.08
  5. Step 5: Solve for x
    x = 695,034.08/1,137.86
  6. Step 6: Final answer
    x = 610.83

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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.