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Finding the Fourth Proportional to 1,106.34, 1,657.30 and 667.35

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Solution

The fourth proportional to 1,106.34, 1,657.30 and 667.35 is: 999.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.34 : 1,657.30 = 667.35 : x
  2. Step 2: Convert to fraction form
    1,106.34/1,657.30 = 667.35/x
  3. Step 3: Cross multiply
    1,106.34x = 1,657.30 × 667.35
  4. Step 4: Simplify right side
    1,106.34x = 1,105,997.49
  5. Step 5: Solve for x
    x = 1,105,997.49/1,106.34
  6. Step 6: Final answer
    x = 999.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.