Home / 1,524.09-2,283.08-701.23

Finding the Fourth Proportional to 1,524.09, 2,283.08 and 701.23

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Solution

The fourth proportional to 1,524.09, 2,283.08 and 701.23 is: 1,050.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.09 : 2,283.08 = 701.23 : x
  2. Step 2: Convert to fraction form
    1,524.09/2,283.08 = 701.23/x
  3. Step 3: Cross multiply
    1,524.09x = 2,283.08 × 701.23
  4. Step 4: Simplify right side
    1,524.09x = 1,600,964.19
  5. Step 5: Solve for x
    x = 1,600,964.19/1,524.09
  6. Step 6: Final answer
    x = 1,050.44

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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.