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Finding the Fourth Proportional to 1,353.48, 2,029.46 and 429.27

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Solution

The fourth proportional to 1,353.48, 2,029.46 and 429.27 is: 643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.48 : 2,029.46 = 429.27 : x
  2. Step 2: Convert to fraction form
    1,353.48/2,029.46 = 429.27/x
  3. Step 3: Cross multiply
    1,353.48x = 2,029.46 × 429.27
  4. Step 4: Simplify right side
    1,353.48x = 871,184.15
  5. Step 5: Solve for x
    x = 871,184.15/1,353.48
  6. Step 6: Final answer
    x = 643.66

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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.