Home / 1,383.38-2,075.34-690.02

Finding the Fourth Proportional to 1,383.38, 2,075.34 and 690.02

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Solution

The fourth proportional to 1,383.38, 2,075.34 and 690.02 is: 1,035.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.38 : 2,075.34 = 690.02 : x
  2. Step 2: Convert to fraction form
    1,383.38/2,075.34 = 690.02/x
  3. Step 3: Cross multiply
    1,383.38x = 2,075.34 × 690.02
  4. Step 4: Simplify right side
    1,383.38x = 1,432,026.11
  5. Step 5: Solve for x
    x = 1,432,026.11/1,383.38
  6. Step 6: Final answer
    x = 1,035.16

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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.