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Finding the Fourth Proportional to 802.12, 1,106.50 and 540.22

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Solution

The fourth proportional to 802.12, 1,106.50 and 540.22 is: 745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.12 : 1,106.50 = 540.22 : x
  2. Step 2: Convert to fraction form
    802.12/1,106.50 = 540.22/x
  3. Step 3: Cross multiply
    802.12x = 1,106.50 × 540.22
  4. Step 4: Simplify right side
    802.12x = 597,745.20
  5. Step 5: Solve for x
    x = 597,745.20/802.12
  6. Step 6: Final answer
    x = 745.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.