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Finding the Fourth Proportional to 1,103.22, 1,656.05 and 555.66

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Solution

The fourth proportional to 1,103.22, 1,656.05 and 555.66 is: 834.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.22 : 1,656.05 = 555.66 : x
  2. Step 2: Convert to fraction form
    1,103.22/1,656.05 = 555.66/x
  3. Step 3: Cross multiply
    1,103.22x = 1,656.05 × 555.66
  4. Step 4: Simplify right side
    1,103.22x = 920,197.96
  5. Step 5: Solve for x
    x = 920,197.96/1,103.22
  6. Step 6: Final answer
    x = 834.10

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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.