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Finding the Fourth Proportional to 802.74, 1,107.36 and 540.84

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Solution

The fourth proportional to 802.74, 1,107.36 and 540.84 is: 746.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.74 : 1,107.36 = 540.84 : x
  2. Step 2: Convert to fraction form
    802.74/1,107.36 = 540.84/x
  3. Step 3: Cross multiply
    802.74x = 1,107.36 × 540.84
  4. Step 4: Simplify right side
    802.74x = 598,904.58
  5. Step 5: Solve for x
    x = 598,904.58/802.74
  6. Step 6: Final answer
    x = 746.08

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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.