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Finding the Fourth Proportional to 1,256.40, 1,886.40 and 892.80

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Solution

The fourth proportional to 1,256.40, 1,886.40 and 892.80 is: 1,340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.40 : 1,886.40 = 892.80 : x
  2. Step 2: Convert to fraction form
    1,256.40/1,886.40 = 892.80/x
  3. Step 3: Cross multiply
    1,256.40x = 1,886.40 × 892.80
  4. Step 4: Simplify right side
    1,256.40x = 1,684,177.92
  5. Step 5: Solve for x
    x = 1,684,177.92/1,256.40
  6. Step 6: Final answer
    x = 1,340.48

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1.5x scale

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.