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Finding the Fourth Proportional to 893.53, 1,233.14 and 500.58

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Solution

The fourth proportional to 893.53, 1,233.14 and 500.58 is: 690.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.53 : 1,233.14 = 500.58 : x
  2. Step 2: Convert to fraction form
    893.53/1,233.14 = 500.58/x
  3. Step 3: Cross multiply
    893.53x = 1,233.14 × 500.58
  4. Step 4: Simplify right side
    893.53x = 617,285.53
  5. Step 5: Solve for x
    x = 617,285.53/893.53
  6. Step 6: Final answer
    x = 690.84

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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.