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Finding the Fourth Proportional to 681.61, 1,022.32 and 374.06

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Solution

The fourth proportional to 681.61, 1,022.32 and 374.06 is: 561.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.61 : 1,022.32 = 374.06 : x
  2. Step 2: Convert to fraction form
    681.61/1,022.32 = 374.06/x
  3. Step 3: Cross multiply
    681.61x = 1,022.32 × 374.06
  4. Step 4: Simplify right side
    681.61x = 382,409.02
  5. Step 5: Solve for x
    x = 382,409.02/681.61
  6. Step 6: Final answer
    x = 561.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.