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Finding the Fourth Proportional to 1,106.16, 1,658.16 and 457.44

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Solution

The fourth proportional to 1,106.16, 1,658.16 and 457.44 is: 685.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.16 : 1,658.16 = 457.44 : x
  2. Step 2: Convert to fraction form
    1,106.16/1,658.16 = 457.44/x
  3. Step 3: Cross multiply
    1,106.16x = 1,658.16 × 457.44
  4. Step 4: Simplify right side
    1,106.16x = 758,508.71
  5. Step 5: Solve for x
    x = 758,508.71/1,106.16
  6. Step 6: Final answer
    x = 685.71

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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.