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Finding the Fourth Proportional to 1,165.06, 1,607.94 and 1,066.64

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Solution

The fourth proportional to 1,165.06, 1,607.94 and 1,066.64 is: 1,472.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.06 : 1,607.94 = 1,066.64 : x
  2. Step 2: Convert to fraction form
    1,165.06/1,607.94 = 1,066.64/x
  3. Step 3: Cross multiply
    1,165.06x = 1,607.94 × 1,066.64
  4. Step 4: Simplify right side
    1,165.06x = 1,715,093.12
  5. Step 5: Solve for x
    x = 1,715,093.12/1,165.06
  6. Step 6: Final answer
    x = 1,472.11

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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.