Home / 1,343.14-2,014.02-465.55

Finding the Fourth Proportional to 1,343.14, 2,014.02 and 465.55

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Solution

The fourth proportional to 1,343.14, 2,014.02 and 465.55 is: 698.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.14 : 2,014.02 = 465.55 : x
  2. Step 2: Convert to fraction form
    1,343.14/2,014.02 = 465.55/x
  3. Step 3: Cross multiply
    1,343.14x = 2,014.02 × 465.55
  4. Step 4: Simplify right side
    1,343.14x = 937,621.98
  5. Step 5: Solve for x
    x = 937,621.98/1,343.14
  6. Step 6: Final answer
    x = 698.08

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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.