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Finding the Fourth Proportional to 1,084.95, 1,623.24 and 912.15

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Solution

The fourth proportional to 1,084.95, 1,623.24 and 912.15 is: 1,364.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.95 : 1,623.24 = 912.15 : x
  2. Step 2: Convert to fraction form
    1,084.95/1,623.24 = 912.15/x
  3. Step 3: Cross multiply
    1,084.95x = 1,623.24 × 912.15
  4. Step 4: Simplify right side
    1,084.95x = 1,480,638.37
  5. Step 5: Solve for x
    x = 1,480,638.37/1,084.95
  6. Step 6: Final answer
    x = 1,364.71

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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.