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Finding the Fourth Proportional to 1,690.84, 2,536.59 and 520.76

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Solution

The fourth proportional to 1,690.84, 2,536.59 and 520.76 is: 781.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.84 : 2,536.59 = 520.76 : x
  2. Step 2: Convert to fraction form
    1,690.84/2,536.59 = 520.76/x
  3. Step 3: Cross multiply
    1,690.84x = 2,536.59 × 520.76
  4. Step 4: Simplify right side
    1,690.84x = 1,320,954.61
  5. Step 5: Solve for x
    x = 1,320,954.61/1,690.84
  6. Step 6: Final answer
    x = 781.24

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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.