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Finding the Fourth Proportional to 984.48, 1,475.88 and 471.12

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Solution

The fourth proportional to 984.48, 1,475.88 and 471.12 is: 706.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.48 : 1,475.88 = 471.12 : x
  2. Step 2: Convert to fraction form
    984.48/1,475.88 = 471.12/x
  3. Step 3: Cross multiply
    984.48x = 1,475.88 × 471.12
  4. Step 4: Simplify right side
    984.48x = 695,316.59
  5. Step 5: Solve for x
    x = 695,316.59/984.48
  6. Step 6: Final answer
    x = 706.28

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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.