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Finding the Fourth Proportional to 921.32, 1,382.04 and 598.74

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Solution

The fourth proportional to 921.32, 1,382.04 and 598.74 is: 898.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.32 : 1,382.04 = 598.74 : x
  2. Step 2: Convert to fraction form
    921.32/1,382.04 = 598.74/x
  3. Step 3: Cross multiply
    921.32x = 1,382.04 × 598.74
  4. Step 4: Simplify right side
    921.32x = 827,483.54
  5. Step 5: Solve for x
    x = 827,483.54/921.32
  6. Step 6: Final answer
    x = 898.15

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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.