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Finding the Fourth Proportional to 893.95, 1,337.89 and 784.60

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Solution

The fourth proportional to 893.95, 1,337.89 and 784.60 is: 1,174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.95 : 1,337.89 = 784.60 : x
  2. Step 2: Convert to fraction form
    893.95/1,337.89 = 784.60/x
  3. Step 3: Cross multiply
    893.95x = 1,337.89 × 784.60
  4. Step 4: Simplify right side
    893.95x = 1,049,706.53
  5. Step 5: Solve for x
    x = 1,049,706.53/893.95
  6. Step 6: Final answer
    x = 1,174.23

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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.