Home / 1,052.17-1,577.35-589.57

Finding the Fourth Proportional to 1,052.17, 1,577.35 and 589.57

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Solution

The fourth proportional to 1,052.17, 1,577.35 and 589.57 is: 883.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.17 : 1,577.35 = 589.57 : x
  2. Step 2: Convert to fraction form
    1,052.17/1,577.35 = 589.57/x
  3. Step 3: Cross multiply
    1,052.17x = 1,577.35 × 589.57
  4. Step 4: Simplify right side
    1,052.17x = 929,958.24
  5. Step 5: Solve for x
    x = 929,958.24/1,052.17
  6. Step 6: Final answer
    x = 883.85

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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.