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Finding the Fourth Proportional to 1,331.56, 1,837.56 and 807.46

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Solution

The fourth proportional to 1,331.56, 1,837.56 and 807.46 is: 1,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.56 : 1,837.56 = 807.46 : x
  2. Step 2: Convert to fraction form
    1,331.56/1,837.56 = 807.46/x
  3. Step 3: Cross multiply
    1,331.56x = 1,837.56 × 807.46
  4. Step 4: Simplify right side
    1,331.56x = 1,483,756.20
  5. Step 5: Solve for x
    x = 1,483,756.20/1,331.56
  6. Step 6: Final answer
    x = 1,114.30

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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.