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Finding the Fourth Proportional to 1,016.04, 1,402.19 and 617.98

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Solution

The fourth proportional to 1,016.04, 1,402.19 and 617.98 is: 852.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.04 : 1,402.19 = 617.98 : x
  2. Step 2: Convert to fraction form
    1,016.04/1,402.19 = 617.98/x
  3. Step 3: Cross multiply
    1,016.04x = 1,402.19 × 617.98
  4. Step 4: Simplify right side
    1,016.04x = 866,518.78
  5. Step 5: Solve for x
    x = 866,518.78/1,016.04
  6. Step 6: Final answer
    x = 852.84

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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.