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Finding the Fourth Proportional to 1,266.02, 1,899.90 and 535.67

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Solution

The fourth proportional to 1,266.02, 1,899.90 and 535.67 is: 803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.02 : 1,899.90 = 535.67 : x
  2. Step 2: Convert to fraction form
    1,266.02/1,899.90 = 535.67/x
  3. Step 3: Cross multiply
    1,266.02x = 1,899.90 × 535.67
  4. Step 4: Simplify right side
    1,266.02x = 1,017,709.93
  5. Step 5: Solve for x
    x = 1,017,709.93/1,266.02
  6. Step 6: Final answer
    x = 803.87

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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.