Home / 1,470.29-2,205.93-739.67

Finding the Fourth Proportional to 1,470.29, 2,205.93 and 739.67

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Solution

The fourth proportional to 1,470.29, 2,205.93 and 739.67 is: 1,109.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.29 : 2,205.93 = 739.67 : x
  2. Step 2: Convert to fraction form
    1,470.29/2,205.93 = 739.67/x
  3. Step 3: Cross multiply
    1,470.29x = 2,205.93 × 739.67
  4. Step 4: Simplify right side
    1,470.29x = 1,631,651.99
  5. Step 5: Solve for x
    x = 1,631,651.99/1,470.29
  6. Step 6: Final answer
    x = 1,109.75

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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.