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Finding the Fourth Proportional to 1,536.71, 2,303.80 and 548.96

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Solution

The fourth proportional to 1,536.71, 2,303.80 and 548.96 is: 822.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.71 : 2,303.80 = 548.96 : x
  2. Step 2: Convert to fraction form
    1,536.71/2,303.80 = 548.96/x
  3. Step 3: Cross multiply
    1,536.71x = 2,303.80 × 548.96
  4. Step 4: Simplify right side
    1,536.71x = 1,264,694.05
  5. Step 5: Solve for x
    x = 1,264,694.05/1,536.71
  6. Step 6: Final answer
    x = 822.99

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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.