Home / 1,340.58-2,011.50-416.28

Finding the Fourth Proportional to 1,340.58, 2,011.50 and 416.28

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Solution

The fourth proportional to 1,340.58, 2,011.50 and 416.28 is: 624.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.58 : 2,011.50 = 416.28 : x
  2. Step 2: Convert to fraction form
    1,340.58/2,011.50 = 416.28/x
  3. Step 3: Cross multiply
    1,340.58x = 2,011.50 × 416.28
  4. Step 4: Simplify right side
    1,340.58x = 837,347.22
  5. Step 5: Solve for x
    x = 837,347.22/1,340.58
  6. Step 6: Final answer
    x = 624.62

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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.