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Finding the Fourth Proportional to 1,530.62, 2,294.54 and 556.03

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Solution

The fourth proportional to 1,530.62, 2,294.54 and 556.03 is: 833.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.62 : 2,294.54 = 556.03 : x
  2. Step 2: Convert to fraction form
    1,530.62/2,294.54 = 556.03/x
  3. Step 3: Cross multiply
    1,530.62x = 2,294.54 × 556.03
  4. Step 4: Simplify right side
    1,530.62x = 1,275,835.25
  5. Step 5: Solve for x
    x = 1,275,835.25/1,530.62
  6. Step 6: Final answer
    x = 833.54

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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.