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Finding the Fourth Proportional to 1,015.37, 1,521.83 and 430.15

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Solution

The fourth proportional to 1,015.37, 1,521.83 and 430.15 is: 644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.37 : 1,521.83 = 430.15 : x
  2. Step 2: Convert to fraction form
    1,015.37/1,521.83 = 430.15/x
  3. Step 3: Cross multiply
    1,015.37x = 1,521.83 × 430.15
  4. Step 4: Simplify right side
    1,015.37x = 654,605.41
  5. Step 5: Solve for x
    x = 654,605.41/1,015.37
  6. Step 6: Final answer
    x = 644.70

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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.