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Finding the Fourth Proportional to 1,655.91, 2,484.09 and 779.31

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Solution

The fourth proportional to 1,655.91, 2,484.09 and 779.31 is: 1,169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.91 : 2,484.09 = 779.31 : x
  2. Step 2: Convert to fraction form
    1,655.91/2,484.09 = 779.31/x
  3. Step 3: Cross multiply
    1,655.91x = 2,484.09 × 779.31
  4. Step 4: Simplify right side
    1,655.91x = 1,935,876.18
  5. Step 5: Solve for x
    x = 1,935,876.18/1,655.91
  6. Step 6: Final answer
    x = 1,169.07

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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.