Home / 1,113.09-1,669.63-419.57

Finding the Fourth Proportional to 1,113.09, 1,669.63 and 419.57

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Solution

The fourth proportional to 1,113.09, 1,669.63 and 419.57 is: 629.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.09 : 1,669.63 = 419.57 : x
  2. Step 2: Convert to fraction form
    1,113.09/1,669.63 = 419.57/x
  3. Step 3: Cross multiply
    1,113.09x = 1,669.63 × 419.57
  4. Step 4: Simplify right side
    1,113.09x = 700,518.31
  5. Step 5: Solve for x
    x = 700,518.31/1,113.09
  6. Step 6: Final answer
    x = 629.35

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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.