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Finding the Fourth Proportional to 1,060.81, 1,464.17 and 618.76

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Solution

The fourth proportional to 1,060.81, 1,464.17 and 618.76 is: 854.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.81 : 1,464.17 = 618.76 : x
  2. Step 2: Convert to fraction form
    1,060.81/1,464.17 = 618.76/x
  3. Step 3: Cross multiply
    1,060.81x = 1,464.17 × 618.76
  4. Step 4: Simplify right side
    1,060.81x = 905,966.74
  5. Step 5: Solve for x
    x = 905,966.74/1,060.81
  6. Step 6: Final answer
    x = 854.03

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Why These Related Problems?

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