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Finding the Fourth Proportional to 653.18, 974.31 and 591.62

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Solution

The fourth proportional to 653.18, 974.31 and 591.62 is: 882.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.18 : 974.31 = 591.62 : x
  2. Step 2: Convert to fraction form
    653.18/974.31 = 591.62/x
  3. Step 3: Cross multiply
    653.18x = 974.31 × 591.62
  4. Step 4: Simplify right side
    653.18x = 576,416.41
  5. Step 5: Solve for x
    x = 576,416.41/653.18
  6. Step 6: Final answer
    x = 882.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.