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Finding the Fourth Proportional to 1,019.25, 1,529.28 and 370.04

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Solution

The fourth proportional to 1,019.25, 1,529.28 and 370.04 is: 555.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.25 : 1,529.28 = 370.04 : x
  2. Step 2: Convert to fraction form
    1,019.25/1,529.28 = 370.04/x
  3. Step 3: Cross multiply
    1,019.25x = 1,529.28 × 370.04
  4. Step 4: Simplify right side
    1,019.25x = 565,887.12
  5. Step 5: Solve for x
    x = 565,887.12/1,019.25
  6. Step 6: Final answer
    x = 555.20

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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.