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Finding the Fourth Proportional to 840.37, 1,260.60 and 772.72

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Solution

The fourth proportional to 840.37, 1,260.60 and 772.72 is: 1,159.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.37 : 1,260.60 = 772.72 : x
  2. Step 2: Convert to fraction form
    840.37/1,260.60 = 772.72/x
  3. Step 3: Cross multiply
    840.37x = 1,260.60 × 772.72
  4. Step 4: Simplify right side
    840.37x = 974,090.83
  5. Step 5: Solve for x
    x = 974,090.83/840.37
  6. Step 6: Final answer
    x = 1,159.12

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Why These Related Problems?

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