Home / 1,106.91-1,527.44-609.57

Finding the Fourth Proportional to 1,106.91, 1,527.44 and 609.57

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Solution

The fourth proportional to 1,106.91, 1,527.44 and 609.57 is: 841.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.91 : 1,527.44 = 609.57 : x
  2. Step 2: Convert to fraction form
    1,106.91/1,527.44 = 609.57/x
  3. Step 3: Cross multiply
    1,106.91x = 1,527.44 × 609.57
  4. Step 4: Simplify right side
    1,106.91x = 931,078.55
  5. Step 5: Solve for x
    x = 931,078.55/1,106.91
  6. Step 6: Final answer
    x = 841.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.