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Finding the Fourth Proportional to 993.24, 1,370.64 and 551.08

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Solution

The fourth proportional to 993.24, 1,370.64 and 551.08 is: 760.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.24 : 1,370.64 = 551.08 : x
  2. Step 2: Convert to fraction form
    993.24/1,370.64 = 551.08/x
  3. Step 3: Cross multiply
    993.24x = 1,370.64 × 551.08
  4. Step 4: Simplify right side
    993.24x = 755,332.29
  5. Step 5: Solve for x
    x = 755,332.29/993.24
  6. Step 6: Final answer
    x = 760.47

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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.