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Finding the Fourth Proportional to 842.16, 1,162.08 and 492.84

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Solution

The fourth proportional to 842.16, 1,162.08 and 492.84 is: 680.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.16 : 1,162.08 = 492.84 : x
  2. Step 2: Convert to fraction form
    842.16/1,162.08 = 492.84/x
  3. Step 3: Cross multiply
    842.16x = 1,162.08 × 492.84
  4. Step 4: Simplify right side
    842.16x = 572,719.51
  5. Step 5: Solve for x
    x = 572,719.51/842.16
  6. Step 6: Final answer
    x = 680.06

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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.