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Finding the Fourth Proportional to 645.06, 965.52 and 623.64

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Solution

The fourth proportional to 645.06, 965.52 and 623.64 is: 933.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.06 : 965.52 = 623.64 : x
  2. Step 2: Convert to fraction form
    645.06/965.52 = 623.64/x
  3. Step 3: Cross multiply
    645.06x = 965.52 × 623.64
  4. Step 4: Simplify right side
    645.06x = 602,136.89
  5. Step 5: Solve for x
    x = 602,136.89/645.06
  6. Step 6: Final answer
    x = 933.46

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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.