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Finding the Fourth Proportional to 877.04, 1,208.16 and 830

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Solution

The fourth proportional to 877.04, 1,208.16 and 830 is: 1,143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.04 : 1,208.16 = 830 : x
  2. Step 2: Convert to fraction form
    877.04/1,208.16 = 830/x
  3. Step 3: Cross multiply
    877.04x = 1,208.16 × 830
  4. Step 4: Simplify right side
    877.04x = 1,002,772.80
  5. Step 5: Solve for x
    x = 1,002,772.80/877.04
  6. Step 6: Final answer
    x = 1,143.36

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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.