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Finding the Fourth Proportional to 1,106.40, 1,658.37 and 456.57

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Solution

The fourth proportional to 1,106.40, 1,658.37 and 456.57 is: 684.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.40 : 1,658.37 = 456.57 : x
  2. Step 2: Convert to fraction form
    1,106.40/1,658.37 = 456.57/x
  3. Step 3: Cross multiply
    1,106.40x = 1,658.37 × 456.57
  4. Step 4: Simplify right side
    1,106.40x = 757,161.99
  5. Step 5: Solve for x
    x = 757,161.99/1,106.40
  6. Step 6: Final answer
    x = 684.35

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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.