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Finding the Fourth Proportional to 1,536.79, 2,305.30 and 549.82

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Solution

The fourth proportional to 1,536.79, 2,305.30 and 549.82 is: 824.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.79 : 2,305.30 = 549.82 : x
  2. Step 2: Convert to fraction form
    1,536.79/2,305.30 = 549.82/x
  3. Step 3: Cross multiply
    1,536.79x = 2,305.30 × 549.82
  4. Step 4: Simplify right side
    1,536.79x = 1,267,500.05
  5. Step 5: Solve for x
    x = 1,267,500.05/1,536.79
  6. Step 6: Final answer
    x = 824.77

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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.