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Finding the Fourth Proportional to 1,202.78, 1,802.12 and 585.63

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Solution

The fourth proportional to 1,202.78, 1,802.12 and 585.63 is: 877.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.78 : 1,802.12 = 585.63 : x
  2. Step 2: Convert to fraction form
    1,202.78/1,802.12 = 585.63/x
  3. Step 3: Cross multiply
    1,202.78x = 1,802.12 × 585.63
  4. Step 4: Simplify right side
    1,202.78x = 1,055,372.61
  5. Step 5: Solve for x
    x = 1,055,372.61/1,202.78
  6. Step 6: Final answer
    x = 877.44

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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.