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Finding the Fourth Proportional to 1,104.26, 1,656.79 and 584.64

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Solution

The fourth proportional to 1,104.26, 1,656.79 and 584.64 is: 877.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.26 : 1,656.79 = 584.64 : x
  2. Step 2: Convert to fraction form
    1,104.26/1,656.79 = 584.64/x
  3. Step 3: Cross multiply
    1,104.26x = 1,656.79 × 584.64
  4. Step 4: Simplify right side
    1,104.26x = 968,624.24
  5. Step 5: Solve for x
    x = 968,624.24/1,104.26
  6. Step 6: Final answer
    x = 877.17

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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.