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Finding the Fourth Proportional to 653.80, 974.29 and 596.20

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Solution

The fourth proportional to 653.80, 974.29 and 596.20 is: 888.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.80 : 974.29 = 596.20 : x
  2. Step 2: Convert to fraction form
    653.80/974.29 = 596.20/x
  3. Step 3: Cross multiply
    653.80x = 974.29 × 596.20
  4. Step 4: Simplify right side
    653.80x = 580,871.70
  5. Step 5: Solve for x
    x = 580,871.70/653.80
  6. Step 6: Final answer
    x = 888.45

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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.