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Finding the Fourth Proportional to 1,106.53, 1,660.29 and 619.58

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Solution

The fourth proportional to 1,106.53, 1,660.29 and 619.58 is: 929.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.53 : 1,660.29 = 619.58 : x
  2. Step 2: Convert to fraction form
    1,106.53/1,660.29 = 619.58/x
  3. Step 3: Cross multiply
    1,106.53x = 1,660.29 × 619.58
  4. Step 4: Simplify right side
    1,106.53x = 1,028,682.48
  5. Step 5: Solve for x
    x = 1,028,682.48/1,106.53
  6. Step 6: Final answer
    x = 929.65

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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.