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Finding the Fourth Proportional to 874.63, 1,206.78 and 501.49

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Solution

The fourth proportional to 874.63, 1,206.78 and 501.49 is: 691.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.63 : 1,206.78 = 501.49 : x
  2. Step 2: Convert to fraction form
    874.63/1,206.78 = 501.49/x
  3. Step 3: Cross multiply
    874.63x = 1,206.78 × 501.49
  4. Step 4: Simplify right side
    874.63x = 605,182.07
  5. Step 5: Solve for x
    x = 605,182.07/874.63
  6. Step 6: Final answer
    x = 691.93

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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.