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Finding the Fourth Proportional to 767.58, 1,059.33 and 472.86

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Solution

The fourth proportional to 767.58, 1,059.33 and 472.86 is: 652.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.58 : 1,059.33 = 472.86 : x
  2. Step 2: Convert to fraction form
    767.58/1,059.33 = 472.86/x
  3. Step 3: Cross multiply
    767.58x = 1,059.33 × 472.86
  4. Step 4: Simplify right side
    767.58x = 500,914.78
  5. Step 5: Solve for x
    x = 500,914.78/767.58
  6. Step 6: Final answer
    x = 652.59

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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.