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Finding the Fourth Proportional to 1,015.83, 1,523.45 and 430.83

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Solution

The fourth proportional to 1,015.83, 1,523.45 and 430.83 is: 646.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.83 : 1,523.45 = 430.83 : x
  2. Step 2: Convert to fraction form
    1,015.83/1,523.45 = 430.83/x
  3. Step 3: Cross multiply
    1,015.83x = 1,523.45 × 430.83
  4. Step 4: Simplify right side
    1,015.83x = 656,343.54
  5. Step 5: Solve for x
    x = 656,343.54/1,015.83
  6. Step 6: Final answer
    x = 646.11

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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.