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Finding the Fourth Proportional to 1,266.57, 1,899.45 and 486.53

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Solution

The fourth proportional to 1,266.57, 1,899.45 and 486.53 is: 729.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.57 : 1,899.45 = 486.53 : x
  2. Step 2: Convert to fraction form
    1,266.57/1,899.45 = 486.53/x
  3. Step 3: Cross multiply
    1,266.57x = 1,899.45 × 486.53
  4. Step 4: Simplify right side
    1,266.57x = 924,139.41
  5. Step 5: Solve for x
    x = 924,139.41/1,266.57
  6. Step 6: Final answer
    x = 729.64

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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.