Home / 1,343.03-2,014.04-465.30

Finding the Fourth Proportional to 1,343.03, 2,014.04 and 465.30

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Solution

The fourth proportional to 1,343.03, 2,014.04 and 465.30 is: 697.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.03 : 2,014.04 = 465.30 : x
  2. Step 2: Convert to fraction form
    1,343.03/2,014.04 = 465.30/x
  3. Step 3: Cross multiply
    1,343.03x = 2,014.04 × 465.30
  4. Step 4: Simplify right side
    1,343.03x = 937,132.81
  5. Step 5: Solve for x
    x = 937,132.81/1,343.03
  6. Step 6: Final answer
    x = 697.78

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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.