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Finding the Fourth Proportional to 802.16, 1,203.21 and 476.81

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Solution

The fourth proportional to 802.16, 1,203.21 and 476.81 is: 715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.16 : 1,203.21 = 476.81 : x
  2. Step 2: Convert to fraction form
    802.16/1,203.21 = 476.81/x
  3. Step 3: Cross multiply
    802.16x = 1,203.21 × 476.81
  4. Step 4: Simplify right side
    802.16x = 573,705.57
  5. Step 5: Solve for x
    x = 573,705.57/802.16
  6. Step 6: Final answer
    x = 715.20

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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.