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Finding the Fourth Proportional to 924.64, 1,384.96 and 693.88

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Solution

The fourth proportional to 924.64, 1,384.96 and 693.88 is: 1,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.64 : 1,384.96 = 693.88 : x
  2. Step 2: Convert to fraction form
    924.64/1,384.96 = 693.88/x
  3. Step 3: Cross multiply
    924.64x = 1,384.96 × 693.88
  4. Step 4: Simplify right side
    924.64x = 960,996.04
  5. Step 5: Solve for x
    x = 960,996.04/924.64
  6. Step 6: Final answer
    x = 1,039.32

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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.