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Finding the Fourth Proportional to 779.42, 1,169.13 and 292.51

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Solution

The fourth proportional to 779.42, 1,169.13 and 292.51 is: 438.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.42 : 1,169.13 = 292.51 : x
  2. Step 2: Convert to fraction form
    779.42/1,169.13 = 292.51/x
  3. Step 3: Cross multiply
    779.42x = 1,169.13 × 292.51
  4. Step 4: Simplify right side
    779.42x = 341,984.77
  5. Step 5: Solve for x
    x = 341,984.77/779.42
  6. Step 6: Final answer
    x = 438.77

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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.