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Finding the Fourth Proportional to 1,202.28, 1,802.16 and 508.44

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Solution

The fourth proportional to 1,202.28, 1,802.16 and 508.44 is: 762.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.28 : 1,802.16 = 508.44 : x
  2. Step 2: Convert to fraction form
    1,202.28/1,802.16 = 508.44/x
  3. Step 3: Cross multiply
    1,202.28x = 1,802.16 × 508.44
  4. Step 4: Simplify right side
    1,202.28x = 916,290.23
  5. Step 5: Solve for x
    x = 916,290.23/1,202.28
  6. Step 6: Final answer
    x = 762.13

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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.