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Finding the Fourth Proportional to 859.98, 1,289.53 and 508.94

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Solution

The fourth proportional to 859.98, 1,289.53 and 508.94 is: 763.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.98 : 1,289.53 = 508.94 : x
  2. Step 2: Convert to fraction form
    859.98/1,289.53 = 508.94/x
  3. Step 3: Cross multiply
    859.98x = 1,289.53 × 508.94
  4. Step 4: Simplify right side
    859.98x = 656,298.27
  5. Step 5: Solve for x
    x = 656,298.27/859.98
  6. Step 6: Final answer
    x = 763.16

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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.