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Finding the Fourth Proportional to 840.78, 1,265.76 and 765.36

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Solution

The fourth proportional to 840.78, 1,265.76 and 765.36 is: 1,152.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.78 : 1,265.76 = 765.36 : x
  2. Step 2: Convert to fraction form
    840.78/1,265.76 = 765.36/x
  3. Step 3: Cross multiply
    840.78x = 1,265.76 × 765.36
  4. Step 4: Simplify right side
    840.78x = 968,762.07
  5. Step 5: Solve for x
    x = 968,762.07/840.78
  6. Step 6: Final answer
    x = 1,152.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.