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Finding the Fourth Proportional to 598.32, 893.25 and 511.68

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Solution

The fourth proportional to 598.32, 893.25 and 511.68 is: 763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.32 : 893.25 = 511.68 : x
  2. Step 2: Convert to fraction form
    598.32/893.25 = 511.68/x
  3. Step 3: Cross multiply
    598.32x = 893.25 × 511.68
  4. Step 4: Simplify right side
    598.32x = 457,058.16
  5. Step 5: Solve for x
    x = 457,058.16/598.32
  6. Step 6: Final answer
    x = 763.90

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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.