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Finding the Fourth Proportional to 1,290.74, 1,935.08 and 559.80

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Solution

The fourth proportional to 1,290.74, 1,935.08 and 559.80 is: 839.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.74 : 1,935.08 = 559.80 : x
  2. Step 2: Convert to fraction form
    1,290.74/1,935.08 = 559.80/x
  3. Step 3: Cross multiply
    1,290.74x = 1,935.08 × 559.80
  4. Step 4: Simplify right side
    1,290.74x = 1,083,254.99
  5. Step 5: Solve for x
    x = 1,083,254.99/1,290.74
  6. Step 6: Final answer
    x = 839.25

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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.