Home / 1,478.26-2,217.40-706.42

Finding the Fourth Proportional to 1,478.26, 2,217.40 and 706.42

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Solution

The fourth proportional to 1,478.26, 2,217.40 and 706.42 is: 1,059.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.26 : 2,217.40 = 706.42 : x
  2. Step 2: Convert to fraction form
    1,478.26/2,217.40 = 706.42/x
  3. Step 3: Cross multiply
    1,478.26x = 2,217.40 × 706.42
  4. Step 4: Simplify right side
    1,478.26x = 1,566,415.71
  5. Step 5: Solve for x
    x = 1,566,415.71/1,478.26
  6. Step 6: Final answer
    x = 1,059.63

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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.