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Finding the Fourth Proportional to 802.08, 1,106.46 and 540.36

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Solution

The fourth proportional to 802.08, 1,106.46 and 540.36 is: 745.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.08 : 1,106.46 = 540.36 : x
  2. Step 2: Convert to fraction form
    802.08/1,106.46 = 540.36/x
  3. Step 3: Cross multiply
    802.08x = 1,106.46 × 540.36
  4. Step 4: Simplify right side
    802.08x = 597,886.73
  5. Step 5: Solve for x
    x = 597,886.73/802.08
  6. Step 6: Final answer
    x = 745.42

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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.