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Finding the Fourth Proportional to 1,019.55, 1,529.43 and 370.14

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Solution

The fourth proportional to 1,019.55, 1,529.43 and 370.14 is: 555.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.55 : 1,529.43 = 370.14 : x
  2. Step 2: Convert to fraction form
    1,019.55/1,529.43 = 370.14/x
  3. Step 3: Cross multiply
    1,019.55x = 1,529.43 × 370.14
  4. Step 4: Simplify right side
    1,019.55x = 566,103.22
  5. Step 5: Solve for x
    x = 566,103.22/1,019.55
  6. Step 6: Final answer
    x = 555.25

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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.