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Finding the Fourth Proportional to 1,176.87, 1,624.71 and 804.39

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Solution

The fourth proportional to 1,176.87, 1,624.71 and 804.39 is: 1,110.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.87 : 1,624.71 = 804.39 : x
  2. Step 2: Convert to fraction form
    1,176.87/1,624.71 = 804.39/x
  3. Step 3: Cross multiply
    1,176.87x = 1,624.71 × 804.39
  4. Step 4: Simplify right side
    1,176.87x = 1,306,900.48
  5. Step 5: Solve for x
    x = 1,306,900.48/1,176.87
  6. Step 6: Final answer
    x = 1,110.49

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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.