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Finding the Fourth Proportional to 842.19, 1,263.35 and 265.06

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Solution

The fourth proportional to 842.19, 1,263.35 and 265.06 is: 397.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.19 : 1,263.35 = 265.06 : x
  2. Step 2: Convert to fraction form
    842.19/1,263.35 = 265.06/x
  3. Step 3: Cross multiply
    842.19x = 1,263.35 × 265.06
  4. Step 4: Simplify right side
    842.19x = 334,863.55
  5. Step 5: Solve for x
    x = 334,863.55/842.19
  6. Step 6: Final answer
    x = 397.61

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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.