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Finding the Fourth Proportional to 1,290.30, 1,936.06 and 560.36

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Solution

The fourth proportional to 1,290.30, 1,936.06 and 560.36 is: 840.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.30 : 1,936.06 = 560.36 : x
  2. Step 2: Convert to fraction form
    1,290.30/1,936.06 = 560.36/x
  3. Step 3: Cross multiply
    1,290.30x = 1,936.06 × 560.36
  4. Step 4: Simplify right side
    1,290.30x = 1,084,890.58
  5. Step 5: Solve for x
    x = 1,084,890.58/1,290.30
  6. Step 6: Final answer
    x = 840.80

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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.