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Finding the Fourth Proportional to 924.21, 1,275.54 and 593.58

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Solution

The fourth proportional to 924.21, 1,275.54 and 593.58 is: 819.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.21 : 1,275.54 = 593.58 : x
  2. Step 2: Convert to fraction form
    924.21/1,275.54 = 593.58/x
  3. Step 3: Cross multiply
    924.21x = 1,275.54 × 593.58
  4. Step 4: Simplify right side
    924.21x = 757,135.03
  5. Step 5: Solve for x
    x = 757,135.03/924.21
  6. Step 6: Final answer
    x = 819.22

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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.