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Finding the Fourth Proportional to 802.76, 1,204.18 and 289.76

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Solution

The fourth proportional to 802.76, 1,204.18 and 289.76 is: 434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.76 : 1,204.18 = 289.76 : x
  2. Step 2: Convert to fraction form
    802.76/1,204.18 = 289.76/x
  3. Step 3: Cross multiply
    802.76x = 1,204.18 × 289.76
  4. Step 4: Simplify right side
    802.76x = 348,923.20
  5. Step 5: Solve for x
    x = 348,923.20/802.76
  6. Step 6: Final answer
    x = 434.65

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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.