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Finding the Fourth Proportional to 748.86, 1,033.86 and 501

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Solution

The fourth proportional to 748.86, 1,033.86 and 501 is: 691.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.86 : 1,033.86 = 501 : x
  2. Step 2: Convert to fraction form
    748.86/1,033.86 = 501/x
  3. Step 3: Cross multiply
    748.86x = 1,033.86 × 501
  4. Step 4: Simplify right side
    748.86x = 517,963.86
  5. Step 5: Solve for x
    x = 517,963.86/748.86
  6. Step 6: Final answer
    x = 691.67

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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.