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Finding the Fourth Proportional to 1,014.29, 1,521.48 and 429.55

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Solution

The fourth proportional to 1,014.29, 1,521.48 and 429.55 is: 644.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.29 : 1,521.48 = 429.55 : x
  2. Step 2: Convert to fraction form
    1,014.29/1,521.48 = 429.55/x
  3. Step 3: Cross multiply
    1,014.29x = 1,521.48 × 429.55
  4. Step 4: Simplify right side
    1,014.29x = 653,544.13
  5. Step 5: Solve for x
    x = 653,544.13/1,014.29
  6. Step 6: Final answer
    x = 644.34

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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.