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Finding the Fourth Proportional to 1,110.66, 1,533.09 and 645.30

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Solution

The fourth proportional to 1,110.66, 1,533.09 and 645.30 is: 890.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.66 : 1,533.09 = 645.30 : x
  2. Step 2: Convert to fraction form
    1,110.66/1,533.09 = 645.30/x
  3. Step 3: Cross multiply
    1,110.66x = 1,533.09 × 645.30
  4. Step 4: Simplify right side
    1,110.66x = 989,302.98
  5. Step 5: Solve for x
    x = 989,302.98/1,110.66
  6. Step 6: Final answer
    x = 890.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.