Home / 1,107.12-1,527.84-609.78

Finding the Fourth Proportional to 1,107.12, 1,527.84 and 609.78

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Solution

The fourth proportional to 1,107.12, 1,527.84 and 609.78 is: 841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.12 : 1,527.84 = 609.78 : x
  2. Step 2: Convert to fraction form
    1,107.12/1,527.84 = 609.78/x
  3. Step 3: Cross multiply
    1,107.12x = 1,527.84 × 609.78
  4. Step 4: Simplify right side
    1,107.12x = 931,646.28
  5. Step 5: Solve for x
    x = 931,646.28/1,107.12
  6. Step 6: Final answer
    x = 841.50

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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.