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Finding the Fourth Proportional to 1,351.98, 1,865.14 and 820.88

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Solution

The fourth proportional to 1,351.98, 1,865.14 and 820.88 is: 1,132.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.98 : 1,865.14 = 820.88 : x
  2. Step 2: Convert to fraction form
    1,351.98/1,865.14 = 820.88/x
  3. Step 3: Cross multiply
    1,351.98x = 1,865.14 × 820.88
  4. Step 4: Simplify right side
    1,351.98x = 1,531,056.12
  5. Step 5: Solve for x
    x = 1,531,056.12/1,351.98
  6. Step 6: Final answer
    x = 1,132.45

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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.