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Finding the Fourth Proportional to 912.37, 1,368.90 and 547.42

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Solution

The fourth proportional to 912.37, 1,368.90 and 547.42 is: 821.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.37 : 1,368.90 = 547.42 : x
  2. Step 2: Convert to fraction form
    912.37/1,368.90 = 547.42/x
  3. Step 3: Cross multiply
    912.37x = 1,368.90 × 547.42
  4. Step 4: Simplify right side
    912.37x = 749,360.50
  5. Step 5: Solve for x
    x = 749,360.50/912.37
  6. Step 6: Final answer
    x = 821.33

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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.