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Finding the Fourth Proportional to 1,266.40, 1,897.97 and 573.04

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Solution

The fourth proportional to 1,266.40, 1,897.97 and 573.04 is: 858.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.40 : 1,897.97 = 573.04 : x
  2. Step 2: Convert to fraction form
    1,266.40/1,897.97 = 573.04/x
  3. Step 3: Cross multiply
    1,266.40x = 1,897.97 × 573.04
  4. Step 4: Simplify right side
    1,266.40x = 1,087,612.73
  5. Step 5: Solve for x
    x = 1,087,612.73/1,266.40
  6. Step 6: Final answer
    x = 858.82

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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.