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Finding the Fourth Proportional to 1,690.35, 2,535.74 and 594.83

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Solution

The fourth proportional to 1,690.35, 2,535.74 and 594.83 is: 892.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.35 : 2,535.74 = 594.83 : x
  2. Step 2: Convert to fraction form
    1,690.35/2,535.74 = 594.83/x
  3. Step 3: Cross multiply
    1,690.35x = 2,535.74 × 594.83
  4. Step 4: Simplify right side
    1,690.35x = 1,508,318.57
  5. Step 5: Solve for x
    x = 1,508,318.57/1,690.35
  6. Step 6: Final answer
    x = 892.31

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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.