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Finding the Fourth Proportional to 1,290.52, 1,935.18 and 412.85

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Solution

The fourth proportional to 1,290.52, 1,935.18 and 412.85 is: 619.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.52 : 1,935.18 = 412.85 : x
  2. Step 2: Convert to fraction form
    1,290.52/1,935.18 = 412.85/x
  3. Step 3: Cross multiply
    1,290.52x = 1,935.18 × 412.85
  4. Step 4: Simplify right side
    1,290.52x = 798,929.39
  5. Step 5: Solve for x
    x = 798,929.39/1,290.52
  6. Step 6: Final answer
    x = 619.08

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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.