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Finding the Fourth Proportional to 1,100.79, 1,518.45 and 770.01

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Solution

The fourth proportional to 1,100.79, 1,518.45 and 770.01 is: 1,062.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.79 : 1,518.45 = 770.01 : x
  2. Step 2: Convert to fraction form
    1,100.79/1,518.45 = 770.01/x
  3. Step 3: Cross multiply
    1,100.79x = 1,518.45 × 770.01
  4. Step 4: Simplify right side
    1,100.79x = 1,169,213.10
  5. Step 5: Solve for x
    x = 1,169,213.10/1,100.79
  6. Step 6: Final answer
    x = 1,062.16

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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.