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Finding the Fourth Proportional to 1,029.03, 1,543.80 and 298.68

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Solution

The fourth proportional to 1,029.03, 1,543.80 and 298.68 is: 448.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.03 : 1,543.80 = 298.68 : x
  2. Step 2: Convert to fraction form
    1,029.03/1,543.80 = 298.68/x
  3. Step 3: Cross multiply
    1,029.03x = 1,543.80 × 298.68
  4. Step 4: Simplify right side
    1,029.03x = 461,102.18
  5. Step 5: Solve for x
    x = 461,102.18/1,029.03
  6. Step 6: Final answer
    x = 448.09

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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.