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Finding the Fourth Proportional to 1,057.94, 1,587.23 and 327.58

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Solution

The fourth proportional to 1,057.94, 1,587.23 and 327.58 is: 491.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.94 : 1,587.23 = 327.58 : x
  2. Step 2: Convert to fraction form
    1,057.94/1,587.23 = 327.58/x
  3. Step 3: Cross multiply
    1,057.94x = 1,587.23 × 327.58
  4. Step 4: Simplify right side
    1,057.94x = 519,944.80
  5. Step 5: Solve for x
    x = 519,944.80/1,057.94
  6. Step 6: Final answer
    x = 491.47

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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.