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Finding the Fourth Proportional to 921.24, 1,382.06 and 510.17

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Solution

The fourth proportional to 921.24, 1,382.06 and 510.17 is: 765.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.24 : 1,382.06 = 510.17 : x
  2. Step 2: Convert to fraction form
    921.24/1,382.06 = 510.17/x
  3. Step 3: Cross multiply
    921.24x = 1,382.06 × 510.17
  4. Step 4: Simplify right side
    921.24x = 705,079.92
  5. Step 5: Solve for x
    x = 705,079.92/921.24
  6. Step 6: Final answer
    x = 765.36

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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.