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Finding the Fourth Proportional to 1,108.04, 1,529.63 and 858.78

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Solution

The fourth proportional to 1,108.04, 1,529.63 and 858.78 is: 1,185.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.04 : 1,529.63 = 858.78 : x
  2. Step 2: Convert to fraction form
    1,108.04/1,529.63 = 858.78/x
  3. Step 3: Cross multiply
    1,108.04x = 1,529.63 × 858.78
  4. Step 4: Simplify right side
    1,108.04x = 1,313,611.36
  5. Step 5: Solve for x
    x = 1,313,611.36/1,108.04
  6. Step 6: Final answer
    x = 1,185.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.