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Finding the Fourth Proportional to 670.78, 924.01 and 637.98

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Solution

The fourth proportional to 670.78, 924.01 and 637.98 is: 878.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.78 : 924.01 = 637.98 : x
  2. Step 2: Convert to fraction form
    670.78/924.01 = 637.98/x
  3. Step 3: Cross multiply
    670.78x = 924.01 × 637.98
  4. Step 4: Simplify right side
    670.78x = 589,494.84
  5. Step 5: Solve for x
    x = 589,494.84/670.78
  6. Step 6: Final answer
    x = 878.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.