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Finding the Fourth Proportional to 802.31, 1,106.44 and 522.25

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Solution

The fourth proportional to 802.31, 1,106.44 and 522.25 is: 720.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.31 : 1,106.44 = 522.25 : x
  2. Step 2: Convert to fraction form
    802.31/1,106.44 = 522.25/x
  3. Step 3: Cross multiply
    802.31x = 1,106.44 × 522.25
  4. Step 4: Simplify right side
    802.31x = 577,838.29
  5. Step 5: Solve for x
    x = 577,838.29/802.31
  6. Step 6: Final answer
    x = 720.22

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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.