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Finding the Fourth Proportional to 1,193.50, 1,647.06 and 669.58

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Solution

The fourth proportional to 1,193.50, 1,647.06 and 669.58 is: 924.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.50 : 1,647.06 = 669.58 : x
  2. Step 2: Convert to fraction form
    1,193.50/1,647.06 = 669.58/x
  3. Step 3: Cross multiply
    1,193.50x = 1,647.06 × 669.58
  4. Step 4: Simplify right side
    1,193.50x = 1,102,838.43
  5. Step 5: Solve for x
    x = 1,102,838.43/1,193.50
  6. Step 6: Final answer
    x = 924.04

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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.