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Finding the Fourth Proportional to 1,377.91, 2,068.23 and 648

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Solution

The fourth proportional to 1,377.91, 2,068.23 and 648 is: 972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.91 : 2,068.23 = 648 : x
  2. Step 2: Convert to fraction form
    1,377.91/2,068.23 = 648/x
  3. Step 3: Cross multiply
    1,377.91x = 2,068.23 × 648
  4. Step 4: Simplify right side
    1,377.91x = 1,340,215.47
  5. Step 5: Solve for x
    x = 1,340,215.47/1,377.91
  6. Step 6: Final answer
    x = 972.64

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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.