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Finding the Fourth Proportional to 1,053.47, 1,581.74 and 872.02

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Solution

The fourth proportional to 1,053.47, 1,581.74 and 872.02 is: 1,309.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.47 : 1,581.74 = 872.02 : x
  2. Step 2: Convert to fraction form
    1,053.47/1,581.74 = 872.02/x
  3. Step 3: Cross multiply
    1,053.47x = 1,581.74 × 872.02
  4. Step 4: Simplify right side
    1,053.47x = 1,379,308.91
  5. Step 5: Solve for x
    x = 1,379,308.91/1,053.47
  6. Step 6: Final answer
    x = 1,309.30

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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.