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Finding the Fourth Proportional to 1,053.39, 1,580.16 and 359.78

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Solution

The fourth proportional to 1,053.39, 1,580.16 and 359.78 is: 539.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.39 : 1,580.16 = 359.78 : x
  2. Step 2: Convert to fraction form
    1,053.39/1,580.16 = 359.78/x
  3. Step 3: Cross multiply
    1,053.39x = 1,580.16 × 359.78
  4. Step 4: Simplify right side
    1,053.39x = 568,502.06
  5. Step 5: Solve for x
    x = 568,502.06/1,053.39
  6. Step 6: Final answer
    x = 539.69

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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.