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Finding the Fourth Proportional to 640.84, 956.33 and 537.16

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Solution

The fourth proportional to 640.84, 956.33 and 537.16 is: 801.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.84 : 956.33 = 537.16 : x
  2. Step 2: Convert to fraction form
    640.84/956.33 = 537.16/x
  3. Step 3: Cross multiply
    640.84x = 956.33 × 537.16
  4. Step 4: Simplify right side
    640.84x = 513,702.22
  5. Step 5: Solve for x
    x = 513,702.22/640.84
  6. Step 6: Final answer
    x = 801.61

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