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Finding the Fourth Proportional to 1,486.58, 2,230.10 and 562.20

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Solution

The fourth proportional to 1,486.58, 2,230.10 and 562.20 is: 843.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.58 : 2,230.10 = 562.20 : x
  2. Step 2: Convert to fraction form
    1,486.58/2,230.10 = 562.20/x
  3. Step 3: Cross multiply
    1,486.58x = 2,230.10 × 562.20
  4. Step 4: Simplify right side
    1,486.58x = 1,253,762.22
  5. Step 5: Solve for x
    x = 1,253,762.22/1,486.58
  6. Step 6: Final answer
    x = 843.39

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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.