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Finding the Fourth Proportional to 1,011.02, 1,515.92 and 547.97

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Solution

The fourth proportional to 1,011.02, 1,515.92 and 547.97 is: 821.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.02 : 1,515.92 = 547.97 : x
  2. Step 2: Convert to fraction form
    1,011.02/1,515.92 = 547.97/x
  3. Step 3: Cross multiply
    1,011.02x = 1,515.92 × 547.97
  4. Step 4: Simplify right side
    1,011.02x = 830,668.36
  5. Step 5: Solve for x
    x = 830,668.36/1,011.02
  6. Step 6: Final answer
    x = 821.62

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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.