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Finding the Fourth Proportional to 877.45, 1,316 and 261.15

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Solution

The fourth proportional to 877.45, 1,316 and 261.15 is: 391.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.45 : 1,316 = 261.15 : x
  2. Step 2: Convert to fraction form
    877.45/1,316 = 261.15/x
  3. Step 3: Cross multiply
    877.45x = 1,316 × 261.15
  4. Step 4: Simplify right side
    877.45x = 343,673.40
  5. Step 5: Solve for x
    x = 343,673.40/877.45
  6. Step 6: Final answer
    x = 391.67

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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.