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Finding the Fourth Proportional to 1,066.54, 1,600.08 and 450.58

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Solution

The fourth proportional to 1,066.54, 1,600.08 and 450.58 is: 675.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.54 : 1,600.08 = 450.58 : x
  2. Step 2: Convert to fraction form
    1,066.54/1,600.08 = 450.58/x
  3. Step 3: Cross multiply
    1,066.54x = 1,600.08 × 450.58
  4. Step 4: Simplify right side
    1,066.54x = 720,964.05
  5. Step 5: Solve for x
    x = 720,964.05/1,066.54
  6. Step 6: Final answer
    x = 675.98

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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.