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Finding the Fourth Proportional to 994.04, 1,490.32 and 473.72

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Solution

The fourth proportional to 994.04, 1,490.32 and 473.72 is: 710.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.04 : 1,490.32 = 473.72 : x
  2. Step 2: Convert to fraction form
    994.04/1,490.32 = 473.72/x
  3. Step 3: Cross multiply
    994.04x = 1,490.32 × 473.72
  4. Step 4: Simplify right side
    994.04x = 705,994.39
  5. Step 5: Solve for x
    x = 705,994.39/994.04
  6. Step 6: Final answer
    x = 710.23

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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.