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Finding the Fourth Proportional to 767.76, 1,059.03 and 487.50

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Solution

The fourth proportional to 767.76, 1,059.03 and 487.50 is: 672.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.76 : 1,059.03 = 487.50 : x
  2. Step 2: Convert to fraction form
    767.76/1,059.03 = 487.50/x
  3. Step 3: Cross multiply
    767.76x = 1,059.03 × 487.50
  4. Step 4: Simplify right side
    767.76x = 516,277.13
  5. Step 5: Solve for x
    x = 516,277.13/767.76
  6. Step 6: Final answer
    x = 672.45

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