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Finding the Fourth Proportional to 1,263.51, 1,895.57 and 397.82

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Solution

The fourth proportional to 1,263.51, 1,895.57 and 397.82 is: 596.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.51 : 1,895.57 = 397.82 : x
  2. Step 2: Convert to fraction form
    1,263.51/1,895.57 = 397.82/x
  3. Step 3: Cross multiply
    1,263.51x = 1,895.57 × 397.82
  4. Step 4: Simplify right side
    1,263.51x = 754,101.39
  5. Step 5: Solve for x
    x = 754,101.39/1,263.51
  6. Step 6: Final answer
    x = 596.83

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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.