Home / 1,106.08-1,658.16-619.84

Finding the Fourth Proportional to 1,106.08, 1,658.16 and 619.84

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Solution

The fourth proportional to 1,106.08, 1,658.16 and 619.84 is: 929.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.08 : 1,658.16 = 619.84 : x
  2. Step 2: Convert to fraction form
    1,106.08/1,658.16 = 619.84/x
  3. Step 3: Cross multiply
    1,106.08x = 1,658.16 × 619.84
  4. Step 4: Simplify right side
    1,106.08x = 1,027,793.89
  5. Step 5: Solve for x
    x = 1,027,793.89/1,106.08
  6. Step 6: Final answer
    x = 929.22

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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.