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Finding the Fourth Proportional to 1,107.05, 1,526.81 and 664.64

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Solution

The fourth proportional to 1,107.05, 1,526.81 and 664.64 is: 916.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.05 : 1,526.81 = 664.64 : x
  2. Step 2: Convert to fraction form
    1,107.05/1,526.81 = 664.64/x
  3. Step 3: Cross multiply
    1,107.05x = 1,526.81 × 664.64
  4. Step 4: Simplify right side
    1,107.05x = 1,014,770.53
  5. Step 5: Solve for x
    x = 1,014,770.53/1,107.05
  6. Step 6: Final answer
    x = 916.64

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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.