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Finding the Fourth Proportional to 1,139.61, 1,709.37 and 306.66

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Solution

The fourth proportional to 1,139.61, 1,709.37 and 306.66 is: 459.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.61 : 1,709.37 = 306.66 : x
  2. Step 2: Convert to fraction form
    1,139.61/1,709.37 = 306.66/x
  3. Step 3: Cross multiply
    1,139.61x = 1,709.37 × 306.66
  4. Step 4: Simplify right side
    1,139.61x = 524,195.40
  5. Step 5: Solve for x
    x = 524,195.40/1,139.61
  6. Step 6: Final answer
    x = 459.98

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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.