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Finding the Fourth Proportional to 1,323.84, 1,985.74 and 446.54

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Solution

The fourth proportional to 1,323.84, 1,985.74 and 446.54 is: 669.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.84 : 1,985.74 = 446.54 : x
  2. Step 2: Convert to fraction form
    1,323.84/1,985.74 = 446.54/x
  3. Step 3: Cross multiply
    1,323.84x = 1,985.74 × 446.54
  4. Step 4: Simplify right side
    1,323.84x = 886,701.29
  5. Step 5: Solve for x
    x = 886,701.29/1,323.84
  6. Step 6: Final answer
    x = 669.79

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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.