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Finding the Fourth Proportional to 1,387.32, 1,912.57 and 967.06

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Solution

The fourth proportional to 1,387.32, 1,912.57 and 967.06 is: 1,333.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.32 : 1,912.57 = 967.06 : x
  2. Step 2: Convert to fraction form
    1,387.32/1,912.57 = 967.06/x
  3. Step 3: Cross multiply
    1,387.32x = 1,912.57 × 967.06
  4. Step 4: Simplify right side
    1,387.32x = 1,849,569.94
  5. Step 5: Solve for x
    x = 1,849,569.94/1,387.32
  6. Step 6: Final answer
    x = 1,333.20

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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.