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Finding the Fourth Proportional to 1,683.40, 2,525.28 and 709.60

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Solution

The fourth proportional to 1,683.40, 2,525.28 and 709.60 is: 1,064.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.40 : 2,525.28 = 709.60 : x
  2. Step 2: Convert to fraction form
    1,683.40/2,525.28 = 709.60/x
  3. Step 3: Cross multiply
    1,683.40x = 2,525.28 × 709.60
  4. Step 4: Simplify right side
    1,683.40x = 1,791,938.69
  5. Step 5: Solve for x
    x = 1,791,938.69/1,683.40
  6. Step 6: Final answer
    x = 1,064.48

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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.