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Finding the Fourth Proportional to 1,579.76, 2,369.18 and 483.88

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Solution

The fourth proportional to 1,579.76, 2,369.18 and 483.88 is: 725.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.76 : 2,369.18 = 483.88 : x
  2. Step 2: Convert to fraction form
    1,579.76/2,369.18 = 483.88/x
  3. Step 3: Cross multiply
    1,579.76x = 2,369.18 × 483.88
  4. Step 4: Simplify right side
    1,579.76x = 1,146,398.82
  5. Step 5: Solve for x
    x = 1,146,398.82/1,579.76
  6. Step 6: Final answer
    x = 725.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.