Home / 1,383.16-2,075.31-561.23

Finding the Fourth Proportional to 1,383.16, 2,075.31 and 561.23

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Solution

The fourth proportional to 1,383.16, 2,075.31 and 561.23 is: 842.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.16 : 2,075.31 = 561.23 : x
  2. Step 2: Convert to fraction form
    1,383.16/2,075.31 = 561.23/x
  3. Step 3: Cross multiply
    1,383.16x = 2,075.31 × 561.23
  4. Step 4: Simplify right side
    1,383.16x = 1,164,726.23
  5. Step 5: Solve for x
    x = 1,164,726.23/1,383.16
  6. Step 6: Final answer
    x = 842.08

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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.