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Finding the Fourth Proportional to 1,053.71, 1,580.57 and 566.09

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Solution

The fourth proportional to 1,053.71, 1,580.57 and 566.09 is: 849.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.71 : 1,580.57 = 566.09 : x
  2. Step 2: Convert to fraction form
    1,053.71/1,580.57 = 566.09/x
  3. Step 3: Cross multiply
    1,053.71x = 1,580.57 × 566.09
  4. Step 4: Simplify right side
    1,053.71x = 894,734.14
  5. Step 5: Solve for x
    x = 894,734.14/1,053.71
  6. Step 6: Final answer
    x = 849.13

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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.