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Finding the Fourth Proportional to 593.45, 894.62 and 553.81

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Solution

The fourth proportional to 593.45, 894.62 and 553.81 is: 834.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.45 : 894.62 = 553.81 : x
  2. Step 2: Convert to fraction form
    593.45/894.62 = 553.81/x
  3. Step 3: Cross multiply
    593.45x = 894.62 × 553.81
  4. Step 4: Simplify right side
    593.45x = 495,445.03
  5. Step 5: Solve for x
    x = 495,445.03/593.45
  6. Step 6: Final answer
    x = 834.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.