Home / 1,030.27-1,542.93-596.11

Finding the Fourth Proportional to 1,030.27, 1,542.93 and 596.11

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Solution

The fourth proportional to 1,030.27, 1,542.93 and 596.11 is: 892.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.27 : 1,542.93 = 596.11 : x
  2. Step 2: Convert to fraction form
    1,030.27/1,542.93 = 596.11/x
  3. Step 3: Cross multiply
    1,030.27x = 1,542.93 × 596.11
  4. Step 4: Simplify right side
    1,030.27x = 919,756.00
  5. Step 5: Solve for x
    x = 919,756.00/1,030.27
  6. Step 6: Final answer
    x = 892.73

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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.