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Finding the Fourth Proportional to 1,477.30, 2,214.75 and 552.72

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Solution

The fourth proportional to 1,477.30, 2,214.75 and 552.72 is: 828.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.30 : 2,214.75 = 552.72 : x
  2. Step 2: Convert to fraction form
    1,477.30/2,214.75 = 552.72/x
  3. Step 3: Cross multiply
    1,477.30x = 2,214.75 × 552.72
  4. Step 4: Simplify right side
    1,477.30x = 1,224,136.62
  5. Step 5: Solve for x
    x = 1,224,136.62/1,477.30
  6. Step 6: Final answer
    x = 828.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.