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Finding the Fourth Proportional to 622.48, 931.20 and 524.04

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Solution

The fourth proportional to 622.48, 931.20 and 524.04 is: 783.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.48 : 931.20 = 524.04 : x
  2. Step 2: Convert to fraction form
    622.48/931.20 = 524.04/x
  3. Step 3: Cross multiply
    622.48x = 931.20 × 524.04
  4. Step 4: Simplify right side
    622.48x = 487,986.05
  5. Step 5: Solve for x
    x = 487,986.05/622.48
  6. Step 6: Final answer
    x = 783.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.