Home / 1,107.16-1,527.94-609.86

Finding the Fourth Proportional to 1,107.16, 1,527.94 and 609.86

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Solution

The fourth proportional to 1,107.16, 1,527.94 and 609.86 is: 841.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.16 : 1,527.94 = 609.86 : x
  2. Step 2: Convert to fraction form
    1,107.16/1,527.94 = 609.86/x
  3. Step 3: Cross multiply
    1,107.16x = 1,527.94 × 609.86
  4. Step 4: Simplify right side
    1,107.16x = 931,829.49
  5. Step 5: Solve for x
    x = 931,829.49/1,107.16
  6. Step 6: Final answer
    x = 841.64

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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.