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Finding the Fourth Proportional to 1,356, 2,034.03 and 586.50

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Solution

The fourth proportional to 1,356, 2,034.03 and 586.50 is: 879.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356 : 2,034.03 = 586.50 : x
  2. Step 2: Convert to fraction form
    1,356/2,034.03 = 586.50/x
  3. Step 3: Cross multiply
    1,356x = 2,034.03 × 586.50
  4. Step 4: Simplify right side
    1,356x = 1,192,958.60
  5. Step 5: Solve for x
    x = 1,192,958.60/1,356
  6. Step 6: Final answer
    x = 879.76

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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.