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Finding the Fourth Proportional to 924.41, 1,276.56 and 593.63

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Solution

The fourth proportional to 924.41, 1,276.56 and 593.63 is: 819.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.41 : 1,276.56 = 593.63 : x
  2. Step 2: Convert to fraction form
    924.41/1,276.56 = 593.63/x
  3. Step 3: Cross multiply
    924.41x = 1,276.56 × 593.63
  4. Step 4: Simplify right side
    924.41x = 757,802.72
  5. Step 5: Solve for x
    x = 757,802.72/924.41
  6. Step 6: Final answer
    x = 819.77

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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.