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Finding the Fourth Proportional to 849.07, 1,173.86 and 627.67

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Solution

The fourth proportional to 849.07, 1,173.86 and 627.67 is: 867.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.07 : 1,173.86 = 627.67 : x
  2. Step 2: Convert to fraction form
    849.07/1,173.86 = 627.67/x
  3. Step 3: Cross multiply
    849.07x = 1,173.86 × 627.67
  4. Step 4: Simplify right side
    849.07x = 736,796.71
  5. Step 5: Solve for x
    x = 736,796.71/849.07
  6. Step 6: Final answer
    x = 867.77

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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.