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Finding the Fourth Proportional to 1,002, 1,495.34 and 892.64

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Solution

The fourth proportional to 1,002, 1,495.34 and 892.64 is: 1,332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002 : 1,495.34 = 892.64 : x
  2. Step 2: Convert to fraction form
    1,002/1,495.34 = 892.64/x
  3. Step 3: Cross multiply
    1,002x = 1,495.34 × 892.64
  4. Step 4: Simplify right side
    1,002x = 1,334,800.30
  5. Step 5: Solve for x
    x = 1,334,800.30/1,002
  6. Step 6: Final answer
    x = 1,332.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.