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Finding the Fourth Proportional to 924.35, 1,274.47 and 574.43

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Solution

The fourth proportional to 924.35, 1,274.47 and 574.43 is: 792.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.35 : 1,274.47 = 574.43 : x
  2. Step 2: Convert to fraction form
    924.35/1,274.47 = 574.43/x
  3. Step 3: Cross multiply
    924.35x = 1,274.47 × 574.43
  4. Step 4: Simplify right side
    924.35x = 732,085.99
  5. Step 5: Solve for x
    x = 732,085.99/924.35
  6. Step 6: Final answer
    x = 792.01

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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.