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Finding the Fourth Proportional to 1,053.34, 1,580.38 and 559.71

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Solution

The fourth proportional to 1,053.34, 1,580.38 and 559.71 is: 839.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.34 : 1,580.38 = 559.71 : x
  2. Step 2: Convert to fraction form
    1,053.34/1,580.38 = 559.71/x
  3. Step 3: Cross multiply
    1,053.34x = 1,580.38 × 559.71
  4. Step 4: Simplify right side
    1,053.34x = 884,553.09
  5. Step 5: Solve for x
    x = 884,553.09/1,053.34
  6. Step 6: Final answer
    x = 839.76

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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.