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Finding the Fourth Proportional to 1,193.68, 1,647.24 and 669.64

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Solution

The fourth proportional to 1,193.68, 1,647.24 and 669.64 is: 924.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.68 : 1,647.24 = 669.64 : x
  2. Step 2: Convert to fraction form
    1,193.68/1,647.24 = 669.64/x
  3. Step 3: Cross multiply
    1,193.68x = 1,647.24 × 669.64
  4. Step 4: Simplify right side
    1,193.68x = 1,103,057.79
  5. Step 5: Solve for x
    x = 1,103,057.79/1,193.68
  6. Step 6: Final answer
    x = 924.08

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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.