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Finding the Fourth Proportional to 1,266.90, 1,899.78 and 536.10

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Solution

The fourth proportional to 1,266.90, 1,899.78 and 536.10 is: 803.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.90 : 1,899.78 = 536.10 : x
  2. Step 2: Convert to fraction form
    1,266.90/1,899.78 = 536.10/x
  3. Step 3: Cross multiply
    1,266.90x = 1,899.78 × 536.10
  4. Step 4: Simplify right side
    1,266.90x = 1,018,472.06
  5. Step 5: Solve for x
    x = 1,018,472.06/1,266.90
  6. Step 6: Final answer
    x = 803.91

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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.