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Finding the Fourth Proportional to 1,015.72, 1,523.95 and 430.87

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Solution

The fourth proportional to 1,015.72, 1,523.95 and 430.87 is: 646.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.72 : 1,523.95 = 430.87 : x
  2. Step 2: Convert to fraction form
    1,015.72/1,523.95 = 430.87/x
  3. Step 3: Cross multiply
    1,015.72x = 1,523.95 × 430.87
  4. Step 4: Simplify right side
    1,015.72x = 656,624.34
  5. Step 5: Solve for x
    x = 656,624.34/1,015.72
  6. Step 6: Final answer
    x = 646.46

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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.