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Finding the Fourth Proportional to 669.60, 925.02 and 524.07

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Solution

The fourth proportional to 669.60, 925.02 and 524.07 is: 723.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.60 : 925.02 = 524.07 : x
  2. Step 2: Convert to fraction form
    669.60/925.02 = 524.07/x
  3. Step 3: Cross multiply
    669.60x = 925.02 × 524.07
  4. Step 4: Simplify right side
    669.60x = 484,775.23
  5. Step 5: Solve for x
    x = 484,775.23/669.60
  6. Step 6: Final answer
    x = 723.98

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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.