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Finding the Fourth Proportional to 1,099.96, 1,646.63 and 709.18

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Solution

The fourth proportional to 1,099.96, 1,646.63 and 709.18 is: 1,061.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.96 : 1,646.63 = 709.18 : x
  2. Step 2: Convert to fraction form
    1,099.96/1,646.63 = 709.18/x
  3. Step 3: Cross multiply
    1,099.96x = 1,646.63 × 709.18
  4. Step 4: Simplify right side
    1,099.96x = 1,167,760.03
  5. Step 5: Solve for x
    x = 1,167,760.03/1,099.96
  6. Step 6: Final answer
    x = 1,061.64

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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.