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Finding the Fourth Proportional to 779.24, 1,169.24 and 317.35

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Solution

The fourth proportional to 779.24, 1,169.24 and 317.35 is: 476.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.24 : 1,169.24 = 317.35 : x
  2. Step 2: Convert to fraction form
    779.24/1,169.24 = 317.35/x
  3. Step 3: Cross multiply
    779.24x = 1,169.24 × 317.35
  4. Step 4: Simplify right side
    779.24x = 371,058.31
  5. Step 5: Solve for x
    x = 371,058.31/779.24
  6. Step 6: Final answer
    x = 476.18

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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.