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Finding the Fourth Proportional to 802.30, 1,106.75 and 539.86

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Solution

The fourth proportional to 802.30, 1,106.75 and 539.86 is: 744.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.30 : 1,106.75 = 539.86 : x
  2. Step 2: Convert to fraction form
    802.30/1,106.75 = 539.86/x
  3. Step 3: Cross multiply
    802.30x = 1,106.75 × 539.86
  4. Step 4: Simplify right side
    802.30x = 597,481.82
  5. Step 5: Solve for x
    x = 597,481.82/802.30
  6. Step 6: Final answer
    x = 744.72

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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.