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Finding the Fourth Proportional to 1,060.19, 1,462.28 and 618.06

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Solution

The fourth proportional to 1,060.19, 1,462.28 and 618.06 is: 852.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.19 : 1,462.28 = 618.06 : x
  2. Step 2: Convert to fraction form
    1,060.19/1,462.28 = 618.06/x
  3. Step 3: Cross multiply
    1,060.19x = 1,462.28 × 618.06
  4. Step 4: Simplify right side
    1,060.19x = 903,773.69
  5. Step 5: Solve for x
    x = 903,773.69/1,060.19
  6. Step 6: Final answer
    x = 852.47

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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.