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Finding the Fourth Proportional to 859.90, 1,291.57 and 513.91

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Solution

The fourth proportional to 859.90, 1,291.57 and 513.91 is: 771.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.90 : 1,291.57 = 513.91 : x
  2. Step 2: Convert to fraction form
    859.90/1,291.57 = 513.91/x
  3. Step 3: Cross multiply
    859.90x = 1,291.57 × 513.91
  4. Step 4: Simplify right side
    859.90x = 663,750.74
  5. Step 5: Solve for x
    x = 663,750.74/859.90
  6. Step 6: Final answer
    x = 771.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.