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Finding the Fourth Proportional to 1,690.02, 2,535.20 and 635.56

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Solution

The fourth proportional to 1,690.02, 2,535.20 and 635.56 is: 953.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.02 : 2,535.20 = 635.56 : x
  2. Step 2: Convert to fraction form
    1,690.02/2,535.20 = 635.56/x
  3. Step 3: Cross multiply
    1,690.02x = 2,535.20 × 635.56
  4. Step 4: Simplify right side
    1,690.02x = 1,611,271.71
  5. Step 5: Solve for x
    x = 1,611,271.71/1,690.02
  6. Step 6: Final answer
    x = 953.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.