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Finding the Fourth Proportional to 857.70, 1,284.92 and 491.37

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Solution

The fourth proportional to 857.70, 1,284.92 and 491.37 is: 736.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.70 : 1,284.92 = 491.37 : x
  2. Step 2: Convert to fraction form
    857.70/1,284.92 = 491.37/x
  3. Step 3: Cross multiply
    857.70x = 1,284.92 × 491.37
  4. Step 4: Simplify right side
    857.70x = 631,368.68
  5. Step 5: Solve for x
    x = 631,368.68/857.70
  6. Step 6: Final answer
    x = 736.12

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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.