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Finding the Fourth Proportional to 602.56, 896.52 and 597.88

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Solution

The fourth proportional to 602.56, 896.52 and 597.88 is: 889.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.56 : 896.52 = 597.88 : x
  2. Step 2: Convert to fraction form
    602.56/896.52 = 597.88/x
  3. Step 3: Cross multiply
    602.56x = 896.52 × 597.88
  4. Step 4: Simplify right side
    602.56x = 536,011.38
  5. Step 5: Solve for x
    x = 536,011.38/602.56
  6. Step 6: Final answer
    x = 889.56

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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.