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Finding the Fourth Proportional to 924.24, 1,274.84 and 592.14

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Solution

The fourth proportional to 924.24, 1,274.84 and 592.14 is: 816.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.24 : 1,274.84 = 592.14 : x
  2. Step 2: Convert to fraction form
    924.24/1,274.84 = 592.14/x
  3. Step 3: Cross multiply
    924.24x = 1,274.84 × 592.14
  4. Step 4: Simplify right side
    924.24x = 754,880.80
  5. Step 5: Solve for x
    x = 754,880.80/924.24
  6. Step 6: Final answer
    x = 816.76

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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.