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Finding the Fourth Proportional to 1,020.17, 1,530.39 and 370.69

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Solution

The fourth proportional to 1,020.17, 1,530.39 and 370.69 is: 556.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.17 : 1,530.39 = 370.69 : x
  2. Step 2: Convert to fraction form
    1,020.17/1,530.39 = 370.69/x
  3. Step 3: Cross multiply
    1,020.17x = 1,530.39 × 370.69
  4. Step 4: Simplify right side
    1,020.17x = 567,300.27
  5. Step 5: Solve for x
    x = 567,300.27/1,020.17
  6. Step 6: Final answer
    x = 556.08

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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.