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Finding the Fourth Proportional to 1,106.31, 1,658.91 and 619.23

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Solution

The fourth proportional to 1,106.31, 1,658.91 and 619.23 is: 928.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.31 : 1,658.91 = 619.23 : x
  2. Step 2: Convert to fraction form
    1,106.31/1,658.91 = 619.23/x
  3. Step 3: Cross multiply
    1,106.31x = 1,658.91 × 619.23
  4. Step 4: Simplify right side
    1,106.31x = 1,027,246.84
  5. Step 5: Solve for x
    x = 1,027,246.84/1,106.31
  6. Step 6: Final answer
    x = 928.53

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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.