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Finding the Fourth Proportional to 1,065.50, 1,470.48 and 599.84

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Solution

The fourth proportional to 1,065.50, 1,470.48 and 599.84 is: 827.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.50 : 1,470.48 = 599.84 : x
  2. Step 2: Convert to fraction form
    1,065.50/1,470.48 = 599.84/x
  3. Step 3: Cross multiply
    1,065.50x = 1,470.48 × 599.84
  4. Step 4: Simplify right side
    1,065.50x = 882,052.72
  5. Step 5: Solve for x
    x = 882,052.72/1,065.50
  6. Step 6: Final answer
    x = 827.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.