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Finding the Fourth Proportional to 525, 787.68 and 522.96

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Solution

The fourth proportional to 525, 787.68 and 522.96 is: 784.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    525 : 787.68 = 522.96 : x
  2. Step 2: Convert to fraction form
    525/787.68 = 522.96/x
  3. Step 3: Cross multiply
    525x = 787.68 × 522.96
  4. Step 4: Simplify right side
    525x = 411,925.13
  5. Step 5: Solve for x
    x = 411,925.13/525
  6. Step 6: Final answer
    x = 784.62

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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.