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Finding the Fourth Proportional to 1,006.00, 1,509.57 and 543.77

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Solution

The fourth proportional to 1,006.00, 1,509.57 and 543.77 is: 815.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.00 : 1,509.57 = 543.77 : x
  2. Step 2: Convert to fraction form
    1,006.00/1,509.57 = 543.77/x
  3. Step 3: Cross multiply
    1,006.00x = 1,509.57 × 543.77
  4. Step 4: Simplify right side
    1,006.00x = 820,859.97
  5. Step 5: Solve for x
    x = 820,859.97/1,006.00
  6. Step 6: Final answer
    x = 815.96

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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.