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Finding the Fourth Proportional to 993.92, 1,490.90 and 473.98

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Solution

The fourth proportional to 993.92, 1,490.90 and 473.98 is: 710.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.92 : 1,490.90 = 473.98 : x
  2. Step 2: Convert to fraction form
    993.92/1,490.90 = 473.98/x
  3. Step 3: Cross multiply
    993.92x = 1,490.90 × 473.98
  4. Step 4: Simplify right side
    993.92x = 706,656.78
  5. Step 5: Solve for x
    x = 706,656.78/993.92
  6. Step 6: Final answer
    x = 710.98

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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.