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Finding the Fourth Proportional to 1,139.88, 1,709.83 and 318.23

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Solution

The fourth proportional to 1,139.88, 1,709.83 and 318.23 is: 477.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.88 : 1,709.83 = 318.23 : x
  2. Step 2: Convert to fraction form
    1,139.88/1,709.83 = 318.23/x
  3. Step 3: Cross multiply
    1,139.88x = 1,709.83 × 318.23
  4. Step 4: Simplify right side
    1,139.88x = 544,117.46
  5. Step 5: Solve for x
    x = 544,117.46/1,139.88
  6. Step 6: Final answer
    x = 477.34

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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.