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Finding the Fourth Proportional to 1,477.17, 2,214.95 and 552.56

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Solution

The fourth proportional to 1,477.17, 2,214.95 and 552.56 is: 828.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.17 : 2,214.95 = 552.56 : x
  2. Step 2: Convert to fraction form
    1,477.17/2,214.95 = 552.56/x
  3. Step 3: Cross multiply
    1,477.17x = 2,214.95 × 552.56
  4. Step 4: Simplify right side
    1,477.17x = 1,223,878.93
  5. Step 5: Solve for x
    x = 1,223,878.93/1,477.17
  6. Step 6: Final answer
    x = 828.53

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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.