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Finding the Fourth Proportional to 890.36, 1,328.68 and 782.38

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Solution

The fourth proportional to 890.36, 1,328.68 and 782.38 is: 1,167.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.36 : 1,328.68 = 782.38 : x
  2. Step 2: Convert to fraction form
    890.36/1,328.68 = 782.38/x
  3. Step 3: Cross multiply
    890.36x = 1,328.68 × 782.38
  4. Step 4: Simplify right side
    890.36x = 1,039,532.66
  5. Step 5: Solve for x
    x = 1,039,532.66/890.36
  6. Step 6: Final answer
    x = 1,167.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.