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Finding the Fourth Proportional to 984.10, 1,475.64 and 637.60

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Solution

The fourth proportional to 984.10, 1,475.64 and 637.60 is: 956.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.10 : 1,475.64 = 637.60 : x
  2. Step 2: Convert to fraction form
    984.10/1,475.64 = 637.60/x
  3. Step 3: Cross multiply
    984.10x = 1,475.64 × 637.60
  4. Step 4: Simplify right side
    984.10x = 940,868.06
  5. Step 5: Solve for x
    x = 940,868.06/984.10
  6. Step 6: Final answer
    x = 956.07

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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.