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Finding the Fourth Proportional to 1,141.53, 1,712.10 and 319.62

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Solution

The fourth proportional to 1,141.53, 1,712.10 and 319.62 is: 479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.53 : 1,712.10 = 319.62 : x
  2. Step 2: Convert to fraction form
    1,141.53/1,712.10 = 319.62/x
  3. Step 3: Cross multiply
    1,141.53x = 1,712.10 × 319.62
  4. Step 4: Simplify right side
    1,141.53x = 547,221.40
  5. Step 5: Solve for x
    x = 547,221.40/1,141.53
  6. Step 6: Final answer
    x = 479.38

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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.