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Finding the Fourth Proportional to 848.61, 1,270.27 and 776.83

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Solution

The fourth proportional to 848.61, 1,270.27 and 776.83 is: 1,162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.61 : 1,270.27 = 776.83 : x
  2. Step 2: Convert to fraction form
    848.61/1,270.27 = 776.83/x
  3. Step 3: Cross multiply
    848.61x = 1,270.27 × 776.83
  4. Step 4: Simplify right side
    848.61x = 986,783.84
  5. Step 5: Solve for x
    x = 986,783.84/848.61
  6. Step 6: Final answer
    x = 1,162.82

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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.