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Finding the Fourth Proportional to 645.93, 964.52 and 507.42

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Solution

The fourth proportional to 645.93, 964.52 and 507.42 is: 757.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.93 : 964.52 = 507.42 : x
  2. Step 2: Convert to fraction form
    645.93/964.52 = 507.42/x
  3. Step 3: Cross multiply
    645.93x = 964.52 × 507.42
  4. Step 4: Simplify right side
    645.93x = 489,416.74
  5. Step 5: Solve for x
    x = 489,416.74/645.93
  6. Step 6: Final answer
    x = 757.69

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Why These Related Problems?

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