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Finding the Fourth Proportional to 1,257.02, 1,883.55 and 817.49

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Solution

The fourth proportional to 1,257.02, 1,883.55 and 817.49 is: 1,224.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.02 : 1,883.55 = 817.49 : x
  2. Step 2: Convert to fraction form
    1,257.02/1,883.55 = 817.49/x
  3. Step 3: Cross multiply
    1,257.02x = 1,883.55 × 817.49
  4. Step 4: Simplify right side
    1,257.02x = 1,539,783.29
  5. Step 5: Solve for x
    x = 1,539,783.29/1,257.02
  6. Step 6: Final answer
    x = 1,224.95

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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.