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Finding the Fourth Proportional to 802.56, 1,202.10 and 390.84

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Solution

The fourth proportional to 802.56, 1,202.10 and 390.84 is: 585.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.56 : 1,202.10 = 390.84 : x
  2. Step 2: Convert to fraction form
    802.56/1,202.10 = 390.84/x
  3. Step 3: Cross multiply
    802.56x = 1,202.10 × 390.84
  4. Step 4: Simplify right side
    802.56x = 469,828.76
  5. Step 5: Solve for x
    x = 469,828.76/802.56
  6. Step 6: Final answer
    x = 585.41

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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.