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Finding the Fourth Proportional to 1,014.34, 1,520.32 and 429.22

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Solution

The fourth proportional to 1,014.34, 1,520.32 and 429.22 is: 643.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.34 : 1,520.32 = 429.22 : x
  2. Step 2: Convert to fraction form
    1,014.34/1,520.32 = 429.22/x
  3. Step 3: Cross multiply
    1,014.34x = 1,520.32 × 429.22
  4. Step 4: Simplify right side
    1,014.34x = 652,551.75
  5. Step 5: Solve for x
    x = 652,551.75/1,014.34
  6. Step 6: Final answer
    x = 643.33

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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.