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Finding the Fourth Proportional to 1,106.32, 1,658.84 and 456.32

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Solution

The fourth proportional to 1,106.32, 1,658.84 and 456.32 is: 684.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.32 : 1,658.84 = 456.32 : x
  2. Step 2: Convert to fraction form
    1,106.32/1,658.84 = 456.32/x
  3. Step 3: Cross multiply
    1,106.32x = 1,658.84 × 456.32
  4. Step 4: Simplify right side
    1,106.32x = 756,961.87
  5. Step 5: Solve for x
    x = 756,961.87/1,106.32
  6. Step 6: Final answer
    x = 684.22

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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.