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Finding the Fourth Proportional to 877.77, 1,316.86 and 261.46

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Solution

The fourth proportional to 877.77, 1,316.86 and 261.46 is: 392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.77 : 1,316.86 = 261.46 : x
  2. Step 2: Convert to fraction form
    877.77/1,316.86 = 261.46/x
  3. Step 3: Cross multiply
    877.77x = 1,316.86 × 261.46
  4. Step 4: Simplify right side
    877.77x = 344,307.21
  5. Step 5: Solve for x
    x = 344,307.21/877.77
  6. Step 6: Final answer
    x = 392.25

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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.