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Finding the Fourth Proportional to 553.63, 829.66 and 537

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Solution

The fourth proportional to 553.63, 829.66 and 537 is: 804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.63 : 829.66 = 537 : x
  2. Step 2: Convert to fraction form
    553.63/829.66 = 537/x
  3. Step 3: Cross multiply
    553.63x = 829.66 × 537
  4. Step 4: Simplify right side
    553.63x = 445,527.42
  5. Step 5: Solve for x
    x = 445,527.42/553.63
  6. Step 6: Final answer
    x = 804.74

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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.