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Finding the Fourth Proportional to 974.56, 1,460.19 and 589

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Solution

The fourth proportional to 974.56, 1,460.19 and 589 is: 882.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.56 : 1,460.19 = 589 : x
  2. Step 2: Convert to fraction form
    974.56/1,460.19 = 589/x
  3. Step 3: Cross multiply
    974.56x = 1,460.19 × 589
  4. Step 4: Simplify right side
    974.56x = 860,051.91
  5. Step 5: Solve for x
    x = 860,051.91/974.56
  6. Step 6: Final answer
    x = 882.50

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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.