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Finding the Fourth Proportional to 1,451.76, 2,004.57 and 892.48

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Solution

The fourth proportional to 1,451.76, 2,004.57 and 892.48 is: 1,232.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.76 : 2,004.57 = 892.48 : x
  2. Step 2: Convert to fraction form
    1,451.76/2,004.57 = 892.48/x
  3. Step 3: Cross multiply
    1,451.76x = 2,004.57 × 892.48
  4. Step 4: Simplify right side
    1,451.76x = 1,789,038.63
  5. Step 5: Solve for x
    x = 1,789,038.63/1,451.76
  6. Step 6: Final answer
    x = 1,232.32

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1.5x scale

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.