Home / 1,456.33-2,009.08-984.07

Finding the Fourth Proportional to 1,456.33, 2,009.08 and 984.07

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Solution

The fourth proportional to 1,456.33, 2,009.08 and 984.07 is: 1,357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.33 : 2,009.08 = 984.07 : x
  2. Step 2: Convert to fraction form
    1,456.33/2,009.08 = 984.07/x
  3. Step 3: Cross multiply
    1,456.33x = 2,009.08 × 984.07
  4. Step 4: Simplify right side
    1,456.33x = 1,977,075.36
  5. Step 5: Solve for x
    x = 1,977,075.36/1,456.33
  6. Step 6: Final answer
    x = 1,357.57

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1.5x scale

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.