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Finding the Fourth Proportional to 984.64, 1,475.88 and 464.23

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Solution

The fourth proportional to 984.64, 1,475.88 and 464.23 is: 695.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.64 : 1,475.88 = 464.23 : x
  2. Step 2: Convert to fraction form
    984.64/1,475.88 = 464.23/x
  3. Step 3: Cross multiply
    984.64x = 1,475.88 × 464.23
  4. Step 4: Simplify right side
    984.64x = 685,147.77
  5. Step 5: Solve for x
    x = 685,147.77/984.64
  6. Step 6: Final answer
    x = 695.84

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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.