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Finding the Fourth Proportional to 1,204.99, 1,807.76 and 424.96

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Solution

The fourth proportional to 1,204.99, 1,807.76 and 424.96 is: 637.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.99 : 1,807.76 = 424.96 : x
  2. Step 2: Convert to fraction form
    1,204.99/1,807.76 = 424.96/x
  3. Step 3: Cross multiply
    1,204.99x = 1,807.76 × 424.96
  4. Step 4: Simplify right side
    1,204.99x = 768,222.23
  5. Step 5: Solve for x
    x = 768,222.23/1,204.99
  6. Step 6: Final answer
    x = 637.54

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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.