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Finding the Fourth Proportional to 848.16, 1,264.77 and 780.84

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Solution

The fourth proportional to 848.16, 1,264.77 and 780.84 is: 1,164.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.16 : 1,264.77 = 780.84 : x
  2. Step 2: Convert to fraction form
    848.16/1,264.77 = 780.84/x
  3. Step 3: Cross multiply
    848.16x = 1,264.77 × 780.84
  4. Step 4: Simplify right side
    848.16x = 987,583.01
  5. Step 5: Solve for x
    x = 987,583.01/848.16
  6. Step 6: Final answer
    x = 1,164.38

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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.