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Finding the Fourth Proportional to 1,047.93, 1,572.15 and 389.83

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Solution

The fourth proportional to 1,047.93, 1,572.15 and 389.83 is: 584.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.93 : 1,572.15 = 389.83 : x
  2. Step 2: Convert to fraction form
    1,047.93/1,572.15 = 389.83/x
  3. Step 3: Cross multiply
    1,047.93x = 1,572.15 × 389.83
  4. Step 4: Simplify right side
    1,047.93x = 612,876.88
  5. Step 5: Solve for x
    x = 612,876.88/1,047.93
  6. Step 6: Final answer
    x = 584.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.