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Finding the Fourth Proportional to 1,471.16, 2,206.74 and 375.55

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Solution

The fourth proportional to 1,471.16, 2,206.74 and 375.55 is: 563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.16 : 2,206.74 = 375.55 : x
  2. Step 2: Convert to fraction form
    1,471.16/2,206.74 = 375.55/x
  3. Step 3: Cross multiply
    1,471.16x = 2,206.74 × 375.55
  4. Step 4: Simplify right side
    1,471.16x = 828,741.21
  5. Step 5: Solve for x
    x = 828,741.21/1,471.16
  6. Step 6: Final answer
    x = 563.33

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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.