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Finding the Fourth Proportional to 842.31, 1,162.10 and 510.17

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Solution

The fourth proportional to 842.31, 1,162.10 and 510.17 is: 703.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.31 : 1,162.10 = 510.17 : x
  2. Step 2: Convert to fraction form
    842.31/1,162.10 = 510.17/x
  3. Step 3: Cross multiply
    842.31x = 1,162.10 × 510.17
  4. Step 4: Simplify right side
    842.31x = 592,864.02
  5. Step 5: Solve for x
    x = 592,864.02/842.31
  6. Step 6: Final answer
    x = 703.85

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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.