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Finding the Fourth Proportional to 1,139.15, 1,708.83 and 306.34

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Solution

The fourth proportional to 1,139.15, 1,708.83 and 306.34 is: 459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.15 : 1,708.83 = 306.34 : x
  2. Step 2: Convert to fraction form
    1,139.15/1,708.83 = 306.34/x
  3. Step 3: Cross multiply
    1,139.15x = 1,708.83 × 306.34
  4. Step 4: Simplify right side
    1,139.15x = 523,482.98
  5. Step 5: Solve for x
    x = 523,482.98/1,139.15
  6. Step 6: Final answer
    x = 459.54

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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.