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Finding the Fourth Proportional to 802.71, 1,107.37 and 503.77

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Solution

The fourth proportional to 802.71, 1,107.37 and 503.77 is: 694.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.71 : 1,107.37 = 503.77 : x
  2. Step 2: Convert to fraction form
    802.71/1,107.37 = 503.77/x
  3. Step 3: Cross multiply
    802.71x = 1,107.37 × 503.77
  4. Step 4: Simplify right side
    802.71x = 557,859.78
  5. Step 5: Solve for x
    x = 557,859.78/802.71
  6. Step 6: Final answer
    x = 694.97

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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.