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Finding the Fourth Proportional to 921.64, 1,382.94 and 536.68

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Solution

The fourth proportional to 921.64, 1,382.94 and 536.68 is: 805.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.64 : 1,382.94 = 536.68 : x
  2. Step 2: Convert to fraction form
    921.64/1,382.94 = 536.68/x
  3. Step 3: Cross multiply
    921.64x = 1,382.94 × 536.68
  4. Step 4: Simplify right side
    921.64x = 742,196.24
  5. Step 5: Solve for x
    x = 742,196.24/921.64
  6. Step 6: Final answer
    x = 805.30

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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.