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Finding the Fourth Proportional to 1,006.32, 1,509.76 and 573.78

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Solution

The fourth proportional to 1,006.32, 1,509.76 and 573.78 is: 860.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.32 : 1,509.76 = 573.78 : x
  2. Step 2: Convert to fraction form
    1,006.32/1,509.76 = 573.78/x
  3. Step 3: Cross multiply
    1,006.32x = 1,509.76 × 573.78
  4. Step 4: Simplify right side
    1,006.32x = 866,270.09
  5. Step 5: Solve for x
    x = 866,270.09/1,006.32
  6. Step 6: Final answer
    x = 860.83

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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.