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Finding the Fourth Proportional to 674.24, 929.40 and 564.08

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Solution

The fourth proportional to 674.24, 929.40 and 564.08 is: 777.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.24 : 929.40 = 564.08 : x
  2. Step 2: Convert to fraction form
    674.24/929.40 = 564.08/x
  3. Step 3: Cross multiply
    674.24x = 929.40 × 564.08
  4. Step 4: Simplify right side
    674.24x = 524,255.95
  5. Step 5: Solve for x
    x = 524,255.95/674.24
  6. Step 6: Final answer
    x = 777.55

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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.