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Finding the Fourth Proportional to 1,356.68, 1,871.94 and 767.06

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Solution

The fourth proportional to 1,356.68, 1,871.94 and 767.06 is: 1,058.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.68 : 1,871.94 = 767.06 : x
  2. Step 2: Convert to fraction form
    1,356.68/1,871.94 = 767.06/x
  3. Step 3: Cross multiply
    1,356.68x = 1,871.94 × 767.06
  4. Step 4: Simplify right side
    1,356.68x = 1,435,890.30
  5. Step 5: Solve for x
    x = 1,435,890.30/1,356.68
  6. Step 6: Final answer
    x = 1,058.39

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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.