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Finding the Fourth Proportional to 794.07, 1,190.73 and 465.10

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Solution

The fourth proportional to 794.07, 1,190.73 and 465.10 is: 697.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.07 : 1,190.73 = 465.10 : x
  2. Step 2: Convert to fraction form
    794.07/1,190.73 = 465.10/x
  3. Step 3: Cross multiply
    794.07x = 1,190.73 × 465.10
  4. Step 4: Simplify right side
    794.07x = 553,808.52
  5. Step 5: Solve for x
    x = 553,808.52/794.07
  6. Step 6: Final answer
    x = 697.43

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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.