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Finding the Fourth Proportional to 1,690.42, 2,535.74 and 595.06

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Solution

The fourth proportional to 1,690.42, 2,535.74 and 595.06 is: 892.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.42 : 2,535.74 = 595.06 : x
  2. Step 2: Convert to fraction form
    1,690.42/2,535.74 = 595.06/x
  3. Step 3: Cross multiply
    1,690.42x = 2,535.74 × 595.06
  4. Step 4: Simplify right side
    1,690.42x = 1,508,917.44
  5. Step 5: Solve for x
    x = 1,508,917.44/1,690.42
  6. Step 6: Final answer
    x = 892.63

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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.