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Finding the Fourth Proportional to 1,116.06, 1,674.36 and 1,008.60

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Solution

The fourth proportional to 1,116.06, 1,674.36 and 1,008.60 is: 1,513.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.06 : 1,674.36 = 1,008.60 : x
  2. Step 2: Convert to fraction form
    1,116.06/1,674.36 = 1,008.60/x
  3. Step 3: Cross multiply
    1,116.06x = 1,674.36 × 1,008.60
  4. Step 4: Simplify right side
    1,116.06x = 1,688,759.50
  5. Step 5: Solve for x
    x = 1,688,759.50/1,116.06
  6. Step 6: Final answer
    x = 1,513.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.