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Finding the Fourth Proportional to 598.53, 893.70 and 536.43

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Solution

The fourth proportional to 598.53, 893.70 and 536.43 is: 800.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.53 : 893.70 = 536.43 : x
  2. Step 2: Convert to fraction form
    598.53/893.70 = 536.43/x
  3. Step 3: Cross multiply
    598.53x = 893.70 × 536.43
  4. Step 4: Simplify right side
    598.53x = 479,407.49
  5. Step 5: Solve for x
    x = 479,407.49/598.53
  6. Step 6: Final answer
    x = 800.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.