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Finding the Fourth Proportional to 893.59, 1,233.18 and 520.51

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Solution

The fourth proportional to 893.59, 1,233.18 and 520.51 is: 718.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.59 : 1,233.18 = 520.51 : x
  2. Step 2: Convert to fraction form
    893.59/1,233.18 = 520.51/x
  3. Step 3: Cross multiply
    893.59x = 1,233.18 × 520.51
  4. Step 4: Simplify right side
    893.59x = 641,878.01
  5. Step 5: Solve for x
    x = 641,878.01/893.59
  6. Step 6: Final answer
    x = 718.32

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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.