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Finding the Fourth Proportional to 1,119.18, 1,545.93 and 858.54

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Solution

The fourth proportional to 1,119.18, 1,545.93 and 858.54 is: 1,185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.18 : 1,545.93 = 858.54 : x
  2. Step 2: Convert to fraction form
    1,119.18/1,545.93 = 858.54/x
  3. Step 3: Cross multiply
    1,119.18x = 1,545.93 × 858.54
  4. Step 4: Simplify right side
    1,119.18x = 1,327,242.74
  5. Step 5: Solve for x
    x = 1,327,242.74/1,119.18
  6. Step 6: Final answer
    x = 1,185.91

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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.