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Finding the Fourth Proportional to 1,029.74, 1,544.92 and 299.32

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Solution

The fourth proportional to 1,029.74, 1,544.92 and 299.32 is: 449.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.74 : 1,544.92 = 299.32 : x
  2. Step 2: Convert to fraction form
    1,029.74/1,544.92 = 299.32/x
  3. Step 3: Cross multiply
    1,029.74x = 1,544.92 × 299.32
  4. Step 4: Simplify right side
    1,029.74x = 462,420.84
  5. Step 5: Solve for x
    x = 462,420.84/1,029.74
  6. Step 6: Final answer
    x = 449.07

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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.