Home / 1,463.09-2,020.13-904.33

Finding the Fourth Proportional to 1,463.09, 2,020.13 and 904.33

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Solution

The fourth proportional to 1,463.09, 2,020.13 and 904.33 is: 1,248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.09 : 2,020.13 = 904.33 : x
  2. Step 2: Convert to fraction form
    1,463.09/2,020.13 = 904.33/x
  3. Step 3: Cross multiply
    1,463.09x = 2,020.13 × 904.33
  4. Step 4: Simplify right side
    1,463.09x = 1,826,860.07
  5. Step 5: Solve for x
    x = 1,826,860.07/1,463.09
  6. Step 6: Final answer
    x = 1,248.63

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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.