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Finding the Fourth Proportional to 1,060.19, 1,462.98 and 618.05

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Solution

The fourth proportional to 1,060.19, 1,462.98 and 618.05 is: 852.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.19 : 1,462.98 = 618.05 : x
  2. Step 2: Convert to fraction form
    1,060.19/1,462.98 = 618.05/x
  3. Step 3: Cross multiply
    1,060.19x = 1,462.98 × 618.05
  4. Step 4: Simplify right side
    1,060.19x = 904,194.79
  5. Step 5: Solve for x
    x = 904,194.79/1,060.19
  6. Step 6: Final answer
    x = 852.86

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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.