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Finding the Fourth Proportional to 840.62, 1,267.16 and 697.25

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Solution

The fourth proportional to 840.62, 1,267.16 and 697.25 is: 1,051.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.62 : 1,267.16 = 697.25 : x
  2. Step 2: Convert to fraction form
    840.62/1,267.16 = 697.25/x
  3. Step 3: Cross multiply
    840.62x = 1,267.16 × 697.25
  4. Step 4: Simplify right side
    840.62x = 883,527.31
  5. Step 5: Solve for x
    x = 883,527.31/840.62
  6. Step 6: Final answer
    x = 1,051.04

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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.