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Finding the Fourth Proportional to 1,530.38, 2,295.56 and 556.48

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Solution

The fourth proportional to 1,530.38, 2,295.56 and 556.48 is: 834.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.38 : 2,295.56 = 556.48 : x
  2. Step 2: Convert to fraction form
    1,530.38/2,295.56 = 556.48/x
  3. Step 3: Cross multiply
    1,530.38x = 2,295.56 × 556.48
  4. Step 4: Simplify right side
    1,530.38x = 1,277,433.23
  5. Step 5: Solve for x
    x = 1,277,433.23/1,530.38
  6. Step 6: Final answer
    x = 834.72

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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.