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Finding the Fourth Proportional to 1,141.55, 1,712.37 and 319.91

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Solution

The fourth proportional to 1,141.55, 1,712.37 and 319.91 is: 479.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.55 : 1,712.37 = 319.91 : x
  2. Step 2: Convert to fraction form
    1,141.55/1,712.37 = 319.91/x
  3. Step 3: Cross multiply
    1,141.55x = 1,712.37 × 319.91
  4. Step 4: Simplify right side
    1,141.55x = 547,795.72
  5. Step 5: Solve for x
    x = 547,795.72/1,141.55
  6. Step 6: Final answer
    x = 479.87

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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.