Home / 690.20-1,034.10-433.40

Finding the Fourth Proportional to 690.20, 1,034.10 and 433.40

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Solution

The fourth proportional to 690.20, 1,034.10 and 433.40 is: 649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.20 : 1,034.10 = 433.40 : x
  2. Step 2: Convert to fraction form
    690.20/1,034.10 = 433.40/x
  3. Step 3: Cross multiply
    690.20x = 1,034.10 × 433.40
  4. Step 4: Simplify right side
    690.20x = 448,178.94
  5. Step 5: Solve for x
    x = 448,178.94/690.20
  6. Step 6: Final answer
    x = 649.35

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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.