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Finding the Fourth Proportional to 598.82, 897.98 and 537.32

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Solution

The fourth proportional to 598.82, 897.98 and 537.32 is: 805.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.82 : 897.98 = 537.32 : x
  2. Step 2: Convert to fraction form
    598.82/897.98 = 537.32/x
  3. Step 3: Cross multiply
    598.82x = 897.98 × 537.32
  4. Step 4: Simplify right side
    598.82x = 482,502.17
  5. Step 5: Solve for x
    x = 482,502.17/598.82
  6. Step 6: Final answer
    x = 805.76

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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.