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Finding the Fourth Proportional to 1,382.16, 1,907.05 and 934.87

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Solution

The fourth proportional to 1,382.16, 1,907.05 and 934.87 is: 1,289.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.16 : 1,907.05 = 934.87 : x
  2. Step 2: Convert to fraction form
    1,382.16/1,907.05 = 934.87/x
  3. Step 3: Cross multiply
    1,382.16x = 1,907.05 × 934.87
  4. Step 4: Simplify right side
    1,382.16x = 1,782,843.83
  5. Step 5: Solve for x
    x = 1,782,843.83/1,382.16
  6. Step 6: Final answer
    x = 1,289.90

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Why These Related Problems?

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