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Finding the Fourth Proportional to 1,596.52, 2,394.85 and 556.63

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Solution

The fourth proportional to 1,596.52, 2,394.85 and 556.63 is: 834.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.52 : 2,394.85 = 556.63 : x
  2. Step 2: Convert to fraction form
    1,596.52/2,394.85 = 556.63/x
  3. Step 3: Cross multiply
    1,596.52x = 2,394.85 × 556.63
  4. Step 4: Simplify right side
    1,596.52x = 1,333,050.99
  5. Step 5: Solve for x
    x = 1,333,050.99/1,596.52
  6. Step 6: Final answer
    x = 834.97

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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.