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Finding the Fourth Proportional to 840.36, 1,260.54 and 697.08

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Solution

The fourth proportional to 840.36, 1,260.54 and 697.08 is: 1,045.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.36 : 1,260.54 = 697.08 : x
  2. Step 2: Convert to fraction form
    840.36/1,260.54 = 697.08/x
  3. Step 3: Cross multiply
    840.36x = 1,260.54 × 697.08
  4. Step 4: Simplify right side
    840.36x = 878,697.22
  5. Step 5: Solve for x
    x = 878,697.22/840.36
  6. Step 6: Final answer
    x = 1,045.62

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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.