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Finding the Fourth Proportional to 1,006.02, 1,509.09 and 572.34

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Solution

The fourth proportional to 1,006.02, 1,509.09 and 572.34 is: 858.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.02 : 1,509.09 = 572.34 : x
  2. Step 2: Convert to fraction form
    1,006.02/1,509.09 = 572.34/x
  3. Step 3: Cross multiply
    1,006.02x = 1,509.09 × 572.34
  4. Step 4: Simplify right side
    1,006.02x = 863,712.57
  5. Step 5: Solve for x
    x = 863,712.57/1,006.02
  6. Step 6: Final answer
    x = 858.54

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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.