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Finding the Fourth Proportional to 848.52, 1,266.54 and 786.78

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Solution

The fourth proportional to 848.52, 1,266.54 and 786.78 is: 1,174.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.52 : 1,266.54 = 786.78 : x
  2. Step 2: Convert to fraction form
    848.52/1,266.54 = 786.78/x
  3. Step 3: Cross multiply
    848.52x = 1,266.54 × 786.78
  4. Step 4: Simplify right side
    848.52x = 996,488.34
  5. Step 5: Solve for x
    x = 996,488.34/848.52
  6. Step 6: Final answer
    x = 1,174.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.