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Finding the Fourth Proportional to 887.94, 1,330.08 and 785.49

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Solution

The fourth proportional to 887.94, 1,330.08 and 785.49 is: 1,176.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.94 : 1,330.08 = 785.49 : x
  2. Step 2: Convert to fraction form
    887.94/1,330.08 = 785.49/x
  3. Step 3: Cross multiply
    887.94x = 1,330.08 × 785.49
  4. Step 4: Simplify right side
    887.94x = 1,044,764.54
  5. Step 5: Solve for x
    x = 1,044,764.54/887.94
  6. Step 6: Final answer
    x = 1,176.62

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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.