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Finding the Fourth Proportional to 1,116.83, 1,675.47 and 561.84

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Solution

The fourth proportional to 1,116.83, 1,675.47 and 561.84 is: 842.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.83 : 1,675.47 = 561.84 : x
  2. Step 2: Convert to fraction form
    1,116.83/1,675.47 = 561.84/x
  3. Step 3: Cross multiply
    1,116.83x = 1,675.47 × 561.84
  4. Step 4: Simplify right side
    1,116.83x = 941,346.06
  5. Step 5: Solve for x
    x = 941,346.06/1,116.83
  6. Step 6: Final answer
    x = 842.88

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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.