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Finding the Fourth Proportional to 1,484.60, 2,226.44 and 510.47

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Solution

The fourth proportional to 1,484.60, 2,226.44 and 510.47 is: 765.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.60 : 2,226.44 = 510.47 : x
  2. Step 2: Convert to fraction form
    1,484.60/2,226.44 = 510.47/x
  3. Step 3: Cross multiply
    1,484.60x = 2,226.44 × 510.47
  4. Step 4: Simplify right side
    1,484.60x = 1,136,517.14
  5. Step 5: Solve for x
    x = 1,136,517.14/1,484.60
  6. Step 6: Final answer
    x = 765.54

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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.