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Finding the Fourth Proportional to 1,084.48, 1,622.66 and 644.12

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Solution

The fourth proportional to 1,084.48, 1,622.66 and 644.12 is: 963.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.48 : 1,622.66 = 644.12 : x
  2. Step 2: Convert to fraction form
    1,084.48/1,622.66 = 644.12/x
  3. Step 3: Cross multiply
    1,084.48x = 1,622.66 × 644.12
  4. Step 4: Simplify right side
    1,084.48x = 1,045,187.76
  5. Step 5: Solve for x
    x = 1,045,187.76/1,084.48
  6. Step 6: Final answer
    x = 963.77

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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.