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Finding the Fourth Proportional to 767.40, 1,059.14 and 505.40

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Solution

The fourth proportional to 767.40, 1,059.14 and 505.40 is: 697.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.40 : 1,059.14 = 505.40 : x
  2. Step 2: Convert to fraction form
    767.40/1,059.14 = 505.40/x
  3. Step 3: Cross multiply
    767.40x = 1,059.14 × 505.40
  4. Step 4: Simplify right side
    767.40x = 535,289.36
  5. Step 5: Solve for x
    x = 535,289.36/767.40
  6. Step 6: Final answer
    x = 697.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.