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Finding the Fourth Proportional to 1,266.76, 1,900.14 and 354.76

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Solution

The fourth proportional to 1,266.76, 1,900.14 and 354.76 is: 532.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.76 : 1,900.14 = 354.76 : x
  2. Step 2: Convert to fraction form
    1,266.76/1,900.14 = 354.76/x
  3. Step 3: Cross multiply
    1,266.76x = 1,900.14 × 354.76
  4. Step 4: Simplify right side
    1,266.76x = 674,093.67
  5. Step 5: Solve for x
    x = 674,093.67/1,266.76
  6. Step 6: Final answer
    x = 532.14

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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.