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Finding the Fourth Proportional to 802.03, 1,199.57 and 472.19

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Solution

The fourth proportional to 802.03, 1,199.57 and 472.19 is: 706.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.03 : 1,199.57 = 472.19 : x
  2. Step 2: Convert to fraction form
    802.03/1,199.57 = 472.19/x
  3. Step 3: Cross multiply
    802.03x = 1,199.57 × 472.19
  4. Step 4: Simplify right side
    802.03x = 566,420.14
  5. Step 5: Solve for x
    x = 566,420.14/802.03
  6. Step 6: Final answer
    x = 706.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.