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Finding the Fourth Proportional to 1,387.68, 2,076.63 and 867.93

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Solution

The fourth proportional to 1,387.68, 2,076.63 and 867.93 is: 1,298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.68 : 2,076.63 = 867.93 : x
  2. Step 2: Convert to fraction form
    1,387.68/2,076.63 = 867.93/x
  3. Step 3: Cross multiply
    1,387.68x = 2,076.63 × 867.93
  4. Step 4: Simplify right side
    1,387.68x = 1,802,369.48
  5. Step 5: Solve for x
    x = 1,802,369.48/1,387.68
  6. Step 6: Final answer
    x = 1,298.84

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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.