Home / 1,206.06-1,810.31-814.83

Finding the Fourth Proportional to 1,206.06, 1,810.31 and 814.83

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Solution

The fourth proportional to 1,206.06, 1,810.31 and 814.83 is: 1,223.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.06 : 1,810.31 = 814.83 : x
  2. Step 2: Convert to fraction form
    1,206.06/1,810.31 = 814.83/x
  3. Step 3: Cross multiply
    1,206.06x = 1,810.31 × 814.83
  4. Step 4: Simplify right side
    1,206.06x = 1,475,090.82
  5. Step 5: Solve for x
    x = 1,475,090.82/1,206.06
  6. Step 6: Final answer
    x = 1,223.07

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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.