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Finding the Fourth Proportional to 617, 853.06 and 589.80

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Solution

The fourth proportional to 617, 853.06 and 589.80 is: 815.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    617 : 853.06 = 589.80 : x
  2. Step 2: Convert to fraction form
    617/853.06 = 589.80/x
  3. Step 3: Cross multiply
    617x = 853.06 × 589.80
  4. Step 4: Simplify right side
    617x = 503,134.79
  5. Step 5: Solve for x
    x = 503,134.79/617
  6. Step 6: Final answer
    x = 815.45

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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.