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Finding the Fourth Proportional to 802.55, 1,201.80 and 766.10

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Solution

The fourth proportional to 802.55, 1,201.80 and 766.10 is: 1,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.55 : 1,201.80 = 766.10 : x
  2. Step 2: Convert to fraction form
    802.55/1,201.80 = 766.10/x
  3. Step 3: Cross multiply
    802.55x = 1,201.80 × 766.10
  4. Step 4: Simplify right side
    802.55x = 920,698.98
  5. Step 5: Solve for x
    x = 920,698.98/802.55
  6. Step 6: Final answer
    x = 1,147.22

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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.