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Finding the Fourth Proportional to 1,029.10, 1,543.80 and 335.80

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Solution

The fourth proportional to 1,029.10, 1,543.80 and 335.80 is: 503.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.10 : 1,543.80 = 335.80 : x
  2. Step 2: Convert to fraction form
    1,029.10/1,543.80 = 335.80/x
  3. Step 3: Cross multiply
    1,029.10x = 1,543.80 × 335.80
  4. Step 4: Simplify right side
    1,029.10x = 518,408.04
  5. Step 5: Solve for x
    x = 518,408.04/1,029.10
  6. Step 6: Final answer
    x = 503.75

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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.