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Finding the Fourth Proportional to 1,006.17, 1,509.26 and 429.05

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Solution

The fourth proportional to 1,006.17, 1,509.26 and 429.05 is: 643.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.17 : 1,509.26 = 429.05 : x
  2. Step 2: Convert to fraction form
    1,006.17/1,509.26 = 429.05/x
  3. Step 3: Cross multiply
    1,006.17x = 1,509.26 × 429.05
  4. Step 4: Simplify right side
    1,006.17x = 647,542.35
  5. Step 5: Solve for x
    x = 647,542.35/1,006.17
  6. Step 6: Final answer
    x = 643.57

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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.