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Finding the Fourth Proportional to 962.58, 1,328.06 and 589.17

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Solution

The fourth proportional to 962.58, 1,328.06 and 589.17 is: 812.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.58 : 1,328.06 = 589.17 : x
  2. Step 2: Convert to fraction form
    962.58/1,328.06 = 589.17/x
  3. Step 3: Cross multiply
    962.58x = 1,328.06 × 589.17
  4. Step 4: Simplify right side
    962.58x = 782,450.16
  5. Step 5: Solve for x
    x = 782,450.16/962.58
  6. Step 6: Final answer
    x = 812.87

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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.