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Finding the Fourth Proportional to 1,106.88, 1,658.10 and 643.28

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Solution

The fourth proportional to 1,106.88, 1,658.10 and 643.28 is: 963.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.88 : 1,658.10 = 643.28 : x
  2. Step 2: Convert to fraction form
    1,106.88/1,658.10 = 643.28/x
  3. Step 3: Cross multiply
    1,106.88x = 1,658.10 × 643.28
  4. Step 4: Simplify right side
    1,106.88x = 1,066,622.57
  5. Step 5: Solve for x
    x = 1,066,622.57/1,106.88
  6. Step 6: Final answer
    x = 963.63

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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.