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Finding the Fourth Proportional to 1,748, 2,621.44 and 577.73

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Solution

The fourth proportional to 1,748, 2,621.44 and 577.73 is: 866.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748 : 2,621.44 = 577.73 : x
  2. Step 2: Convert to fraction form
    1,748/2,621.44 = 577.73/x
  3. Step 3: Cross multiply
    1,748x = 2,621.44 × 577.73
  4. Step 4: Simplify right side
    1,748x = 1,514,484.53
  5. Step 5: Solve for x
    x = 1,514,484.53/1,748
  6. Step 6: Final answer
    x = 866.41

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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.