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Finding the Fourth Proportional to 1,299.12, 1,792.32 and 857.34

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Solution

The fourth proportional to 1,299.12, 1,792.32 and 857.34 is: 1,182.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.12 : 1,792.32 = 857.34 : x
  2. Step 2: Convert to fraction form
    1,299.12/1,792.32 = 857.34/x
  3. Step 3: Cross multiply
    1,299.12x = 1,792.32 × 857.34
  4. Step 4: Simplify right side
    1,299.12x = 1,536,627.63
  5. Step 5: Solve for x
    x = 1,536,627.63/1,299.12
  6. Step 6: Final answer
    x = 1,182.82

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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.