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Finding the Fourth Proportional to 848.28, 1,266.33 and 788.28

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Solution

The fourth proportional to 848.28, 1,266.33 and 788.28 is: 1,176.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.28 : 1,266.33 = 788.28 : x
  2. Step 2: Convert to fraction form
    848.28/1,266.33 = 788.28/x
  3. Step 3: Cross multiply
    848.28x = 1,266.33 × 788.28
  4. Step 4: Simplify right side
    848.28x = 998,222.61
  5. Step 5: Solve for x
    x = 998,222.61/848.28
  6. Step 6: Final answer
    x = 1,176.76

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Why These Related Problems?

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