Home / 1,266.09-1,899.47-535.69

Finding the Fourth Proportional to 1,266.09, 1,899.47 and 535.69

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Solution

The fourth proportional to 1,266.09, 1,899.47 and 535.69 is: 803.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.09 : 1,899.47 = 535.69 : x
  2. Step 2: Convert to fraction form
    1,266.09/1,899.47 = 535.69/x
  3. Step 3: Cross multiply
    1,266.09x = 1,899.47 × 535.69
  4. Step 4: Simplify right side
    1,266.09x = 1,017,527.08
  5. Step 5: Solve for x
    x = 1,017,527.08/1,266.09
  6. Step 6: Final answer
    x = 803.68

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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.