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Finding the Fourth Proportional to 1,405.89, 2,108.16 and 584.28

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Solution

The fourth proportional to 1,405.89, 2,108.16 and 584.28 is: 876.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.89 : 2,108.16 = 584.28 : x
  2. Step 2: Convert to fraction form
    1,405.89/2,108.16 = 584.28/x
  3. Step 3: Cross multiply
    1,405.89x = 2,108.16 × 584.28
  4. Step 4: Simplify right side
    1,405.89x = 1,231,755.72
  5. Step 5: Solve for x
    x = 1,231,755.72/1,405.89
  6. Step 6: Final answer
    x = 876.14

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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.