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Finding the Fourth Proportional to 1,106.86, 1,660.36 and 619.54

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Solution

The fourth proportional to 1,106.86, 1,660.36 and 619.54 is: 929.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.86 : 1,660.36 = 619.54 : x
  2. Step 2: Convert to fraction form
    1,106.86/1,660.36 = 619.54/x
  3. Step 3: Cross multiply
    1,106.86x = 1,660.36 × 619.54
  4. Step 4: Simplify right side
    1,106.86x = 1,028,659.43
  5. Step 5: Solve for x
    x = 1,028,659.43/1,106.86
  6. Step 6: Final answer
    x = 929.35

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Why These Related Problems?

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