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Finding the Fourth Proportional to 984.81, 1,475.46 and 522.90

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Solution

The fourth proportional to 984.81, 1,475.46 and 522.90 is: 783.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.81 : 1,475.46 = 522.90 : x
  2. Step 2: Convert to fraction form
    984.81/1,475.46 = 522.90/x
  3. Step 3: Cross multiply
    984.81x = 1,475.46 × 522.90
  4. Step 4: Simplify right side
    984.81x = 771,518.03
  5. Step 5: Solve for x
    x = 771,518.03/984.81
  6. Step 6: Final answer
    x = 783.42

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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.