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Finding the Fourth Proportional to 645.78, 963.98 and 555.06

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Solution

The fourth proportional to 645.78, 963.98 and 555.06 is: 828.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.78 : 963.98 = 555.06 : x
  2. Step 2: Convert to fraction form
    645.78/963.98 = 555.06/x
  3. Step 3: Cross multiply
    645.78x = 963.98 × 555.06
  4. Step 4: Simplify right side
    645.78x = 535,066.74
  5. Step 5: Solve for x
    x = 535,066.74/645.78
  6. Step 6: Final answer
    x = 828.56

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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.