Home / 1,570.24-2,353.92-704.08

Finding the Fourth Proportional to 1,570.24, 2,353.92 and 704.08

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Solution

The fourth proportional to 1,570.24, 2,353.92 and 704.08 is: 1,055.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.24 : 2,353.92 = 704.08 : x
  2. Step 2: Convert to fraction form
    1,570.24/2,353.92 = 704.08/x
  3. Step 3: Cross multiply
    1,570.24x = 2,353.92 × 704.08
  4. Step 4: Simplify right side
    1,570.24x = 1,657,347.99
  5. Step 5: Solve for x
    x = 1,657,347.99/1,570.24
  6. Step 6: Final answer
    x = 1,055.47

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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.