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Finding the Fourth Proportional to 802.94, 1,204.56 and 370.13

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Solution

The fourth proportional to 802.94, 1,204.56 and 370.13 is: 555.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.94 : 1,204.56 = 370.13 : x
  2. Step 2: Convert to fraction form
    802.94/1,204.56 = 370.13/x
  3. Step 3: Cross multiply
    802.94x = 1,204.56 × 370.13
  4. Step 4: Simplify right side
    802.94x = 445,843.79
  5. Step 5: Solve for x
    x = 445,843.79/802.94
  6. Step 6: Final answer
    x = 555.26

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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.