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Finding the Fourth Proportional to 1,475.85, 2,214.63 and 552.06

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Solution

The fourth proportional to 1,475.85, 2,214.63 and 552.06 is: 828.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.85 : 2,214.63 = 552.06 : x
  2. Step 2: Convert to fraction form
    1,475.85/2,214.63 = 552.06/x
  3. Step 3: Cross multiply
    1,475.85x = 2,214.63 × 552.06
  4. Step 4: Simplify right side
    1,475.85x = 1,222,608.64
  5. Step 5: Solve for x
    x = 1,222,608.64/1,475.85
  6. Step 6: Final answer
    x = 828.41

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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.