Home / 1,526.13-2,288.95-704.23

Finding the Fourth Proportional to 1,526.13, 2,288.95 and 704.23

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Solution

The fourth proportional to 1,526.13, 2,288.95 and 704.23 is: 1,056.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.13 : 2,288.95 = 704.23 : x
  2. Step 2: Convert to fraction form
    1,526.13/2,288.95 = 704.23/x
  3. Step 3: Cross multiply
    1,526.13x = 2,288.95 × 704.23
  4. Step 4: Simplify right side
    1,526.13x = 1,611,939.78
  5. Step 5: Solve for x
    x = 1,611,939.78/1,526.13
  6. Step 6: Final answer
    x = 1,056.23

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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.