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Finding the Fourth Proportional to 994.19, 1,490.66 and 473.50

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Solution

The fourth proportional to 994.19, 1,490.66 and 473.50 is: 709.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.19 : 1,490.66 = 473.50 : x
  2. Step 2: Convert to fraction form
    994.19/1,490.66 = 473.50/x
  3. Step 3: Cross multiply
    994.19x = 1,490.66 × 473.50
  4. Step 4: Simplify right side
    994.19x = 705,817.69
  5. Step 5: Solve for x
    x = 705,817.69/994.19
  6. Step 6: Final answer
    x = 709.94

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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.