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Finding the Fourth Proportional to 1,290.36, 1,935.83 and 424.68

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Solution

The fourth proportional to 1,290.36, 1,935.83 and 424.68 is: 637.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.36 : 1,935.83 = 424.68 : x
  2. Step 2: Convert to fraction form
    1,290.36/1,935.83 = 424.68/x
  3. Step 3: Cross multiply
    1,290.36x = 1,935.83 × 424.68
  4. Step 4: Simplify right side
    1,290.36x = 822,108.28
  5. Step 5: Solve for x
    x = 822,108.28/1,290.36
  6. Step 6: Final answer
    x = 637.12

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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.