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Finding the Fourth Proportional to 1,530.40, 2,295.90 and 556.48

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Solution

The fourth proportional to 1,530.40, 2,295.90 and 556.48 is: 834.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.40 : 2,295.90 = 556.48 : x
  2. Step 2: Convert to fraction form
    1,530.40/2,295.90 = 556.48/x
  3. Step 3: Cross multiply
    1,530.40x = 2,295.90 × 556.48
  4. Step 4: Simplify right side
    1,530.40x = 1,277,622.43
  5. Step 5: Solve for x
    x = 1,277,622.43/1,530.40
  6. Step 6: Final answer
    x = 834.83

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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.