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Finding the Fourth Proportional to 924.02, 1,274.78 and 609.64

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Solution

The fourth proportional to 924.02, 1,274.78 and 609.64 is: 841.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.02 : 1,274.78 = 609.64 : x
  2. Step 2: Convert to fraction form
    924.02/1,274.78 = 609.64/x
  3. Step 3: Cross multiply
    924.02x = 1,274.78 × 609.64
  4. Step 4: Simplify right side
    924.02x = 777,156.88
  5. Step 5: Solve for x
    x = 777,156.88/924.02
  6. Step 6: Final answer
    x = 841.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.