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Finding the Fourth Proportional to 840.93, 1,259.36 and 678.93

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Solution

The fourth proportional to 840.93, 1,259.36 and 678.93 is: 1,016.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.93 : 1,259.36 = 678.93 : x
  2. Step 2: Convert to fraction form
    840.93/1,259.36 = 678.93/x
  3. Step 3: Cross multiply
    840.93x = 1,259.36 × 678.93
  4. Step 4: Simplify right side
    840.93x = 855,017.28
  5. Step 5: Solve for x
    x = 855,017.28/840.93
  6. Step 6: Final answer
    x = 1,016.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.