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Finding the Fourth Proportional to 623.70, 935.55 and 522.45

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Solution

The fourth proportional to 623.70, 935.55 and 522.45 is: 783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.70 : 935.55 = 522.45 : x
  2. Step 2: Convert to fraction form
    623.70/935.55 = 522.45/x
  3. Step 3: Cross multiply
    623.70x = 935.55 × 522.45
  4. Step 4: Simplify right side
    623.70x = 488,778.10
  5. Step 5: Solve for x
    x = 488,778.10/623.70
  6. Step 6: Final answer
    x = 783.68

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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.