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Finding the Fourth Proportional to 1,094, 1,641 and 1,066.46

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Solution

The fourth proportional to 1,094, 1,641 and 1,066.46 is: 1,599.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094 : 1,641 = 1,066.46 : x
  2. Step 2: Convert to fraction form
    1,094/1,641 = 1,066.46/x
  3. Step 3: Cross multiply
    1,094x = 1,641 × 1,066.46
  4. Step 4: Simplify right side
    1,094x = 1,750,060.86
  5. Step 5: Solve for x
    x = 1,750,060.86/1,094
  6. Step 6: Final answer
    x = 1,599.69

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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.