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Finding the Fourth Proportional to 1,029.59, 1,544.53 and 299.07

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Solution

The fourth proportional to 1,029.59, 1,544.53 and 299.07 is: 448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.59 : 1,544.53 = 299.07 : x
  2. Step 2: Convert to fraction form
    1,029.59/1,544.53 = 299.07/x
  3. Step 3: Cross multiply
    1,029.59x = 1,544.53 × 299.07
  4. Step 4: Simplify right side
    1,029.59x = 461,922.59
  5. Step 5: Solve for x
    x = 461,922.59/1,029.59
  6. Step 6: Final answer
    x = 448.65

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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.