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Finding the Fourth Proportional to 1,176.84, 1,764.54 and 446.00

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Solution

The fourth proportional to 1,176.84, 1,764.54 and 446.00 is: 668.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.84 : 1,764.54 = 446.00 : x
  2. Step 2: Convert to fraction form
    1,176.84/1,764.54 = 446.00/x
  3. Step 3: Cross multiply
    1,176.84x = 1,764.54 × 446.00
  4. Step 4: Simplify right side
    1,176.84x = 786,976.02
  5. Step 5: Solve for x
    x = 786,976.02/1,176.84
  6. Step 6: Final answer
    x = 668.72

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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.