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Finding the Fourth Proportional to 983.81, 1,474.71 and 464.10

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Solution

The fourth proportional to 983.81, 1,474.71 and 464.10 is: 695.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.81 : 1,474.71 = 464.10 : x
  2. Step 2: Convert to fraction form
    983.81/1,474.71 = 464.10/x
  3. Step 3: Cross multiply
    983.81x = 1,474.71 × 464.10
  4. Step 4: Simplify right side
    983.81x = 684,405.64
  5. Step 5: Solve for x
    x = 684,405.64/983.81
  6. Step 6: Final answer
    x = 695.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.