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Finding the Fourth Proportional to 1,266.32, 1,899.54 and 718.89

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Solution

The fourth proportional to 1,266.32, 1,899.54 and 718.89 is: 1,078.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.32 : 1,899.54 = 718.89 : x
  2. Step 2: Convert to fraction form
    1,266.32/1,899.54 = 718.89/x
  3. Step 3: Cross multiply
    1,266.32x = 1,899.54 × 718.89
  4. Step 4: Simplify right side
    1,266.32x = 1,365,560.31
  5. Step 5: Solve for x
    x = 1,365,560.31/1,266.32
  6. Step 6: Final answer
    x = 1,078.37

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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.