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Finding the Fourth Proportional to 802.08, 1,204.92 and 494.16

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Solution

The fourth proportional to 802.08, 1,204.92 and 494.16 is: 742.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.08 : 1,204.92 = 494.16 : x
  2. Step 2: Convert to fraction form
    802.08/1,204.92 = 494.16/x
  3. Step 3: Cross multiply
    802.08x = 1,204.92 × 494.16
  4. Step 4: Simplify right side
    802.08x = 595,423.27
  5. Step 5: Solve for x
    x = 595,423.27/802.08
  6. Step 6: Final answer
    x = 742.35

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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.