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Finding the Fourth Proportional to 874.54, 1,206.95 and 501.64

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Solution

The fourth proportional to 874.54, 1,206.95 and 501.64 is: 692.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.54 : 1,206.95 = 501.64 : x
  2. Step 2: Convert to fraction form
    874.54/1,206.95 = 501.64/x
  3. Step 3: Cross multiply
    874.54x = 1,206.95 × 501.64
  4. Step 4: Simplify right side
    874.54x = 605,454.40
  5. Step 5: Solve for x
    x = 605,454.40/874.54
  6. Step 6: Final answer
    x = 692.31

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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.