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Finding the Fourth Proportional to 1,176.91, 1,624.80 and 804.43

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Solution

The fourth proportional to 1,176.91, 1,624.80 and 804.43 is: 1,110.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.91 : 1,624.80 = 804.43 : x
  2. Step 2: Convert to fraction form
    1,176.91/1,624.80 = 804.43/x
  3. Step 3: Cross multiply
    1,176.91x = 1,624.80 × 804.43
  4. Step 4: Simplify right side
    1,176.91x = 1,307,037.86
  5. Step 5: Solve for x
    x = 1,307,037.86/1,176.91
  6. Step 6: Final answer
    x = 1,110.57

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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.