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Finding the Fourth Proportional to 1,202.16, 1,802.28 and 509.28

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Solution

The fourth proportional to 1,202.16, 1,802.28 and 509.28 is: 763.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.16 : 1,802.28 = 509.28 : x
  2. Step 2: Convert to fraction form
    1,202.16/1,802.28 = 509.28/x
  3. Step 3: Cross multiply
    1,202.16x = 1,802.28 × 509.28
  4. Step 4: Simplify right side
    1,202.16x = 917,865.16
  5. Step 5: Solve for x
    x = 917,865.16/1,202.16
  6. Step 6: Final answer
    x = 763.51

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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.