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Finding the Fourth Proportional to 1,116.12, 1,680.87 and 973.56

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Solution

The fourth proportional to 1,116.12, 1,680.87 and 973.56 is: 1,466.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.12 : 1,680.87 = 973.56 : x
  2. Step 2: Convert to fraction form
    1,116.12/1,680.87 = 973.56/x
  3. Step 3: Cross multiply
    1,116.12x = 1,680.87 × 973.56
  4. Step 4: Simplify right side
    1,116.12x = 1,636,427.80
  5. Step 5: Solve for x
    x = 1,636,427.80/1,116.12
  6. Step 6: Final answer
    x = 1,466.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.