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Finding the Fourth Proportional to 1,017.94, 1,404.74 and 552.20

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Solution

The fourth proportional to 1,017.94, 1,404.74 and 552.20 is: 762.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.94 : 1,404.74 = 552.20 : x
  2. Step 2: Convert to fraction form
    1,017.94/1,404.74 = 552.20/x
  3. Step 3: Cross multiply
    1,017.94x = 1,404.74 × 552.20
  4. Step 4: Simplify right side
    1,017.94x = 775,697.43
  5. Step 5: Solve for x
    x = 775,697.43/1,017.94
  6. Step 6: Final answer
    x = 762.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.