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Finding the Fourth Proportional to 1,476.64, 2,214.60 and 552.28

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Solution

The fourth proportional to 1,476.64, 2,214.60 and 552.28 is: 828.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.64 : 2,214.60 = 552.28 : x
  2. Step 2: Convert to fraction form
    1,476.64/2,214.60 = 552.28/x
  3. Step 3: Cross multiply
    1,476.64x = 2,214.60 × 552.28
  4. Step 4: Simplify right side
    1,476.64x = 1,223,079.29
  5. Step 5: Solve for x
    x = 1,223,079.29/1,476.64
  6. Step 6: Final answer
    x = 828.29

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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.