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Finding the Fourth Proportional to 1,292.05, 1,937.73 and 561.46

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Solution

The fourth proportional to 1,292.05, 1,937.73 and 561.46 is: 842.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.05 : 1,937.73 = 561.46 : x
  2. Step 2: Convert to fraction form
    1,292.05/1,937.73 = 561.46/x
  3. Step 3: Cross multiply
    1,292.05x = 1,937.73 × 561.46
  4. Step 4: Simplify right side
    1,292.05x = 1,087,948.20
  5. Step 5: Solve for x
    x = 1,087,948.20/1,292.05
  6. Step 6: Final answer
    x = 842.03

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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.