Home / 1,343.40-2,014.96-477.60

Finding the Fourth Proportional to 1,343.40, 2,014.96 and 477.60

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Solution

The fourth proportional to 1,343.40, 2,014.96 and 477.60 is: 716.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.40 : 2,014.96 = 477.60 : x
  2. Step 2: Convert to fraction form
    1,343.40/2,014.96 = 477.60/x
  3. Step 3: Cross multiply
    1,343.40x = 2,014.96 × 477.60
  4. Step 4: Simplify right side
    1,343.40x = 962,344.90
  5. Step 5: Solve for x
    x = 962,344.90/1,343.40
  6. Step 6: Final answer
    x = 716.35

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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.