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Finding the Fourth Proportional to 1,683.67, 2,526.44 and 709.75

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Solution

The fourth proportional to 1,683.67, 2,526.44 and 709.75 is: 1,065.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.67 : 2,526.44 = 709.75 : x
  2. Step 2: Convert to fraction form
    1,683.67/2,526.44 = 709.75/x
  3. Step 3: Cross multiply
    1,683.67x = 2,526.44 × 709.75
  4. Step 4: Simplify right side
    1,683.67x = 1,793,140.79
  5. Step 5: Solve for x
    x = 1,793,140.79/1,683.67
  6. Step 6: Final answer
    x = 1,065.02

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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.