Home / 1,534.06-2,299.65-712.09

Finding the Fourth Proportional to 1,534.06, 2,299.65 and 712.09

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Solution

The fourth proportional to 1,534.06, 2,299.65 and 712.09 is: 1,067.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.06 : 2,299.65 = 712.09 : x
  2. Step 2: Convert to fraction form
    1,534.06/2,299.65 = 712.09/x
  3. Step 3: Cross multiply
    1,534.06x = 2,299.65 × 712.09
  4. Step 4: Simplify right side
    1,534.06x = 1,637,557.77
  5. Step 5: Solve for x
    x = 1,637,557.77/1,534.06
  6. Step 6: Final answer
    x = 1,067.47

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1.5x scale

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.