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Finding the Fourth Proportional to 1,014.19, 1,520.86 and 429.46

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Solution

The fourth proportional to 1,014.19, 1,520.86 and 429.46 is: 644.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.19 : 1,520.86 = 429.46 : x
  2. Step 2: Convert to fraction form
    1,014.19/1,520.86 = 429.46/x
  3. Step 3: Cross multiply
    1,014.19x = 1,520.86 × 429.46
  4. Step 4: Simplify right side
    1,014.19x = 653,148.54
  5. Step 5: Solve for x
    x = 653,148.54/1,014.19
  6. Step 6: Final answer
    x = 644.01

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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.