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Finding the Fourth Proportional to 1,006.24, 1,509.90 and 429.52

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Solution

The fourth proportional to 1,006.24, 1,509.90 and 429.52 is: 644.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.24 : 1,509.90 = 429.52 : x
  2. Step 2: Convert to fraction form
    1,006.24/1,509.90 = 429.52/x
  3. Step 3: Cross multiply
    1,006.24x = 1,509.90 × 429.52
  4. Step 4: Simplify right side
    1,006.24x = 648,532.25
  5. Step 5: Solve for x
    x = 648,532.25/1,006.24
  6. Step 6: Final answer
    x = 644.51

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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.