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Finding the Fourth Proportional to 802.03, 1,106.90 and 470.48

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Solution

The fourth proportional to 802.03, 1,106.90 and 470.48 is: 649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.03 : 1,106.90 = 470.48 : x
  2. Step 2: Convert to fraction form
    802.03/1,106.90 = 470.48/x
  3. Step 3: Cross multiply
    802.03x = 1,106.90 × 470.48
  4. Step 4: Simplify right side
    802.03x = 520,777.53
  5. Step 5: Solve for x
    x = 520,777.53/802.03
  6. Step 6: Final answer
    x = 649.33

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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.