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Finding the Fourth Proportional to 842.44, 1,162.47 and 510.95

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Solution

The fourth proportional to 842.44, 1,162.47 and 510.95 is: 705.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.44 : 1,162.47 = 510.95 : x
  2. Step 2: Convert to fraction form
    842.44/1,162.47 = 510.95/x
  3. Step 3: Cross multiply
    842.44x = 1,162.47 × 510.95
  4. Step 4: Simplify right side
    842.44x = 593,964.05
  5. Step 5: Solve for x
    x = 593,964.05/842.44
  6. Step 6: Final answer
    x = 705.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.