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Finding the Fourth Proportional to 802.89, 1,204.43 and 315.86

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Solution

The fourth proportional to 802.89, 1,204.43 and 315.86 is: 473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.89 : 1,204.43 = 315.86 : x
  2. Step 2: Convert to fraction form
    802.89/1,204.43 = 315.86/x
  3. Step 3: Cross multiply
    802.89x = 1,204.43 × 315.86
  4. Step 4: Simplify right side
    802.89x = 380,423.66
  5. Step 5: Solve for x
    x = 380,423.66/802.89
  6. Step 6: Final answer
    x = 473.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.