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Finding the Fourth Proportional to 1,060.98, 1,591.44 and 291.48

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Solution

The fourth proportional to 1,060.98, 1,591.44 and 291.48 is: 437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.98 : 1,591.44 = 291.48 : x
  2. Step 2: Convert to fraction form
    1,060.98/1,591.44 = 291.48/x
  3. Step 3: Cross multiply
    1,060.98x = 1,591.44 × 291.48
  4. Step 4: Simplify right side
    1,060.98x = 463,872.93
  5. Step 5: Solve for x
    x = 463,872.93/1,060.98
  6. Step 6: Final answer
    x = 437.21

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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.