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Finding the Fourth Proportional to 962.14, 1,328.39 and 589.50

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Solution

The fourth proportional to 962.14, 1,328.39 and 589.50 is: 813.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.14 : 1,328.39 = 589.50 : x
  2. Step 2: Convert to fraction form
    962.14/1,328.39 = 589.50/x
  3. Step 3: Cross multiply
    962.14x = 1,328.39 × 589.50
  4. Step 4: Simplify right side
    962.14x = 783,085.91
  5. Step 5: Solve for x
    x = 783,085.91/962.14
  6. Step 6: Final answer
    x = 813.90

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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.