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Finding the Fourth Proportional to 1,032.02, 1,423.86 and 589.88

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Solution

The fourth proportional to 1,032.02, 1,423.86 and 589.88 is: 813.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.02 : 1,423.86 = 589.88 : x
  2. Step 2: Convert to fraction form
    1,032.02/1,423.86 = 589.88/x
  3. Step 3: Cross multiply
    1,032.02x = 1,423.86 × 589.88
  4. Step 4: Simplify right side
    1,032.02x = 839,906.54
  5. Step 5: Solve for x
    x = 839,906.54/1,032.02
  6. Step 6: Final answer
    x = 813.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.