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Finding the Fourth Proportional to 893.16, 1,337.79 and 545.45

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Solution

The fourth proportional to 893.16, 1,337.79 and 545.45 is: 816.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.16 : 1,337.79 = 545.45 : x
  2. Step 2: Convert to fraction form
    893.16/1,337.79 = 545.45/x
  3. Step 3: Cross multiply
    893.16x = 1,337.79 × 545.45
  4. Step 4: Simplify right side
    893.16x = 729,690.87
  5. Step 5: Solve for x
    x = 729,690.87/893.16
  6. Step 6: Final answer
    x = 816.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.