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Finding the Fourth Proportional to 802.54, 1,107.47 and 471.00

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Solution

The fourth proportional to 802.54, 1,107.47 and 471.00 is: 649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.54 : 1,107.47 = 471.00 : x
  2. Step 2: Convert to fraction form
    802.54/1,107.47 = 471.00/x
  3. Step 3: Cross multiply
    802.54x = 1,107.47 × 471.00
  4. Step 4: Simplify right side
    802.54x = 521,623.70
  5. Step 5: Solve for x
    x = 521,623.70/802.54
  6. Step 6: Final answer
    x = 649.96

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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.