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Finding the Fourth Proportional to 524.96, 787.51 and 488.51

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Solution

The fourth proportional to 524.96, 787.51 and 488.51 is: 732.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.96 : 787.51 = 488.51 : x
  2. Step 2: Convert to fraction form
    524.96/787.51 = 488.51/x
  3. Step 3: Cross multiply
    524.96x = 787.51 × 488.51
  4. Step 4: Simplify right side
    524.96x = 384,705.29
  5. Step 5: Solve for x
    x = 384,705.29/524.96
  6. Step 6: Final answer
    x = 732.83

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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.