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Finding the Fourth Proportional to 1,106.36, 1,658.87 and 521.49

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Solution

The fourth proportional to 1,106.36, 1,658.87 and 521.49 is: 781.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.36 : 1,658.87 = 521.49 : x
  2. Step 2: Convert to fraction form
    1,106.36/1,658.87 = 521.49/x
  3. Step 3: Cross multiply
    1,106.36x = 1,658.87 × 521.49
  4. Step 4: Simplify right side
    1,106.36x = 865,081.51
  5. Step 5: Solve for x
    x = 865,081.51/1,106.36
  6. Step 6: Final answer
    x = 781.92

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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.