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Finding the Fourth Proportional to 1,210.46, 1,816.35 and 480.06

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Solution

The fourth proportional to 1,210.46, 1,816.35 and 480.06 is: 720.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.46 : 1,816.35 = 480.06 : x
  2. Step 2: Convert to fraction form
    1,210.46/1,816.35 = 480.06/x
  3. Step 3: Cross multiply
    1,210.46x = 1,816.35 × 480.06
  4. Step 4: Simplify right side
    1,210.46x = 871,956.98
  5. Step 5: Solve for x
    x = 871,956.98/1,210.46
  6. Step 6: Final answer
    x = 720.35

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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.