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Finding the Fourth Proportional to 1,106.08, 1,658.16 and 456.36

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Solution

The fourth proportional to 1,106.08, 1,658.16 and 456.36 is: 684.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.08 : 1,658.16 = 456.36 : x
  2. Step 2: Convert to fraction form
    1,106.08/1,658.16 = 456.36/x
  3. Step 3: Cross multiply
    1,106.08x = 1,658.16 × 456.36
  4. Step 4: Simplify right side
    1,106.08x = 756,717.90
  5. Step 5: Solve for x
    x = 756,717.90/1,106.08
  6. Step 6: Final answer
    x = 684.14

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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.