Home / 1,050.47-1,577.24-589.14

Finding the Fourth Proportional to 1,050.47, 1,577.24 and 589.14

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Solution

The fourth proportional to 1,050.47, 1,577.24 and 589.14 is: 884.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.47 : 1,577.24 = 589.14 : x
  2. Step 2: Convert to fraction form
    1,050.47/1,577.24 = 589.14/x
  3. Step 3: Cross multiply
    1,050.47x = 1,577.24 × 589.14
  4. Step 4: Simplify right side
    1,050.47x = 929,212.23
  5. Step 5: Solve for x
    x = 929,212.23/1,050.47
  6. Step 6: Final answer
    x = 884.57

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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.