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Finding the Fourth Proportional to 1,266.18, 1,899.35 and 444.21

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Solution

The fourth proportional to 1,266.18, 1,899.35 and 444.21 is: 666.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.18 : 1,899.35 = 444.21 : x
  2. Step 2: Convert to fraction form
    1,266.18/1,899.35 = 444.21/x
  3. Step 3: Cross multiply
    1,266.18x = 1,899.35 × 444.21
  4. Step 4: Simplify right side
    1,266.18x = 843,710.26
  5. Step 5: Solve for x
    x = 843,710.26/1,266.18
  6. Step 6: Final answer
    x = 666.34

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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.