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Finding the Fourth Proportional to 993.05, 1,370.42 and 551.00

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Solution

The fourth proportional to 993.05, 1,370.42 and 551.00 is: 760.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.05 : 1,370.42 = 551.00 : x
  2. Step 2: Convert to fraction form
    993.05/1,370.42 = 551.00/x
  3. Step 3: Cross multiply
    993.05x = 1,370.42 × 551.00
  4. Step 4: Simplify right side
    993.05x = 755,095.95
  5. Step 5: Solve for x
    x = 755,095.95/993.05
  6. Step 6: Final answer
    x = 760.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.