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Finding the Fourth Proportional to 802.98, 1,107.80 and 523.46

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Solution

The fourth proportional to 802.98, 1,107.80 and 523.46 is: 722.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.98 : 1,107.80 = 523.46 : x
  2. Step 2: Convert to fraction form
    802.98/1,107.80 = 523.46/x
  3. Step 3: Cross multiply
    802.98x = 1,107.80 × 523.46
  4. Step 4: Simplify right side
    802.98x = 579,880.83
  5. Step 5: Solve for x
    x = 579,880.83/802.98
  6. Step 6: Final answer
    x = 722.16

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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.