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Finding the Fourth Proportional to 1,041.99, 1,562.76 and 425.09

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Solution

The fourth proportional to 1,041.99, 1,562.76 and 425.09 is: 637.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.99 : 1,562.76 = 425.09 : x
  2. Step 2: Convert to fraction form
    1,041.99/1,562.76 = 425.09/x
  3. Step 3: Cross multiply
    1,041.99x = 1,562.76 × 425.09
  4. Step 4: Simplify right side
    1,041.99x = 664,305.83
  5. Step 5: Solve for x
    x = 664,305.83/1,041.99
  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.