Home / 1,575.29-2,362.12-709.13

Finding the Fourth Proportional to 1,575.29, 2,362.12 and 709.13

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Solution

The fourth proportional to 1,575.29, 2,362.12 and 709.13 is: 1,063.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.29 : 2,362.12 = 709.13 : x
  2. Step 2: Convert to fraction form
    1,575.29/2,362.12 = 709.13/x
  3. Step 3: Cross multiply
    1,575.29x = 2,362.12 × 709.13
  4. Step 4: Simplify right side
    1,575.29x = 1,675,036.57
  5. Step 5: Solve for x
    x = 1,675,036.57/1,575.29
  6. Step 6: Final answer
    x = 1,063.32

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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.