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Finding the Fourth Proportional to 921.65, 1,380.38 and 555.66

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Solution

The fourth proportional to 921.65, 1,380.38 and 555.66 is: 832.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.65 : 1,380.38 = 555.66 : x
  2. Step 2: Convert to fraction form
    921.65/1,380.38 = 555.66/x
  3. Step 3: Cross multiply
    921.65x = 1,380.38 × 555.66
  4. Step 4: Simplify right side
    921.65x = 767,019.17
  5. Step 5: Solve for x
    x = 767,019.17/921.65
  6. Step 6: Final answer
    x = 832.23

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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.