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Finding the Fourth Proportional to 802.81, 1,107.42 and 503.94

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Solution

The fourth proportional to 802.81, 1,107.42 and 503.94 is: 695.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.81 : 1,107.42 = 503.94 : x
  2. Step 2: Convert to fraction form
    802.81/1,107.42 = 503.94/x
  3. Step 3: Cross multiply
    802.81x = 1,107.42 × 503.94
  4. Step 4: Simplify right side
    802.81x = 558,079.75
  5. Step 5: Solve for x
    x = 558,079.75/802.81
  6. Step 6: Final answer
    x = 695.15

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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.