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Finding the Fourth Proportional to 1,683.44, 2,523.36 and 710

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Solution

The fourth proportional to 1,683.44, 2,523.36 and 710 is: 1,064.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.44 : 2,523.36 = 710 : x
  2. Step 2: Convert to fraction form
    1,683.44/2,523.36 = 710/x
  3. Step 3: Cross multiply
    1,683.44x = 2,523.36 × 710
  4. Step 4: Simplify right side
    1,683.44x = 1,791,585.60
  5. Step 5: Solve for x
    x = 1,791,585.60/1,683.44
  6. Step 6: Final answer
    x = 1,064.24

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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.