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Finding the Fourth Proportional to 853.06, 1,281.03 and 557.07

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Solution

The fourth proportional to 853.06, 1,281.03 and 557.07 is: 836.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.06 : 1,281.03 = 557.07 : x
  2. Step 2: Convert to fraction form
    853.06/1,281.03 = 557.07/x
  3. Step 3: Cross multiply
    853.06x = 1,281.03 × 557.07
  4. Step 4: Simplify right side
    853.06x = 713,623.38
  5. Step 5: Solve for x
    x = 713,623.38/853.06
  6. Step 6: Final answer
    x = 836.55

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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.