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Finding the Fourth Proportional to 1,604.13, 2,407.46 and 824.10

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Solution

The fourth proportional to 1,604.13, 2,407.46 and 824.10 is: 1,236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.13 : 2,407.46 = 824.10 : x
  2. Step 2: Convert to fraction form
    1,604.13/2,407.46 = 824.10/x
  3. Step 3: Cross multiply
    1,604.13x = 2,407.46 × 824.10
  4. Step 4: Simplify right side
    1,604.13x = 1,983,983.67
  5. Step 5: Solve for x
    x = 1,983,983.67/1,604.13
  6. Step 6: Final answer
    x = 1,236.80

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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.