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Finding the Fourth Proportional to 1,690.98, 2,536.77 and 580.34

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Solution

The fourth proportional to 1,690.98, 2,536.77 and 580.34 is: 870.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.98 : 2,536.77 = 580.34 : x
  2. Step 2: Convert to fraction form
    1,690.98/2,536.77 = 580.34/x
  3. Step 3: Cross multiply
    1,690.98x = 2,536.77 × 580.34
  4. Step 4: Simplify right side
    1,690.98x = 1,472,176.42
  5. Step 5: Solve for x
    x = 1,472,176.42/1,690.98
  6. Step 6: Final answer
    x = 870.61

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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.