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Finding the Fourth Proportional to 984, 1,475.71 and 463.71

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Solution

The fourth proportional to 984, 1,475.71 and 463.71 is: 695.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    984 : 1,475.71 = 463.71 : x
  2. Step 2: Convert to fraction form
    984/1,475.71 = 463.71/x
  3. Step 3: Cross multiply
    984x = 1,475.71 × 463.71
  4. Step 4: Simplify right side
    984x = 684,300.32
  5. Step 5: Solve for x
    x = 684,300.32/984
  6. Step 6: Final answer
    x = 695.43

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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.