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Finding the Fourth Proportional to 877.79, 1,316.69 and 261.49

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Solution

The fourth proportional to 877.79, 1,316.69 and 261.49 is: 392.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.79 : 1,316.69 = 261.49 : x
  2. Step 2: Convert to fraction form
    877.79/1,316.69 = 261.49/x
  3. Step 3: Cross multiply
    877.79x = 1,316.69 × 261.49
  4. Step 4: Simplify right side
    877.79x = 344,301.27
  5. Step 5: Solve for x
    x = 344,301.27/877.79
  6. Step 6: Final answer
    x = 392.24

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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.