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Finding the Fourth Proportional to 1,193.81, 1,647.47 and 669.86

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Solution

The fourth proportional to 1,193.81, 1,647.47 and 669.86 is: 924.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.81 : 1,647.47 = 669.86 : x
  2. Step 2: Convert to fraction form
    1,193.81/1,647.47 = 669.86/x
  3. Step 3: Cross multiply
    1,193.81x = 1,647.47 × 669.86
  4. Step 4: Simplify right side
    1,193.81x = 1,103,567.69
  5. Step 5: Solve for x
    x = 1,103,567.69/1,193.81
  6. Step 6: Final answer
    x = 924.41

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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.