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Finding the Fourth Proportional to 1,066.25, 1,600.10 and 382.25

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Solution

The fourth proportional to 1,066.25, 1,600.10 and 382.25 is: 573.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.25 : 1,600.10 = 382.25 : x
  2. Step 2: Convert to fraction form
    1,066.25/1,600.10 = 382.25/x
  3. Step 3: Cross multiply
    1,066.25x = 1,600.10 × 382.25
  4. Step 4: Simplify right side
    1,066.25x = 611,638.23
  5. Step 5: Solve for x
    x = 611,638.23/1,066.25
  6. Step 6: Final answer
    x = 573.63

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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.