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Finding the Fourth Proportional to 1,029.03, 1,543.37 and 335.60

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Solution

The fourth proportional to 1,029.03, 1,543.37 and 335.60 is: 503.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.03 : 1,543.37 = 335.60 : x
  2. Step 2: Convert to fraction form
    1,029.03/1,543.37 = 335.60/x
  3. Step 3: Cross multiply
    1,029.03x = 1,543.37 × 335.60
  4. Step 4: Simplify right side
    1,029.03x = 517,954.97
  5. Step 5: Solve for x
    x = 517,954.97/1,029.03
  6. Step 6: Final answer
    x = 503.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.