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Finding the Fourth Proportional to 840.78, 1,255.62 and 718.06

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Solution

The fourth proportional to 840.78, 1,255.62 and 718.06 is: 1,072.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.78 : 1,255.62 = 718.06 : x
  2. Step 2: Convert to fraction form
    840.78/1,255.62 = 718.06/x
  3. Step 3: Cross multiply
    840.78x = 1,255.62 × 718.06
  4. Step 4: Simplify right side
    840.78x = 901,610.50
  5. Step 5: Solve for x
    x = 901,610.50/840.78
  6. Step 6: Final answer
    x = 1,072.35

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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.