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Finding the Fourth Proportional to 877.84, 1,316.64 and 513.34

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Solution

The fourth proportional to 877.84, 1,316.64 and 513.34 is: 769.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.84 : 1,316.64 = 513.34 : x
  2. Step 2: Convert to fraction form
    877.84/1,316.64 = 513.34/x
  3. Step 3: Cross multiply
    877.84x = 1,316.64 × 513.34
  4. Step 4: Simplify right side
    877.84x = 675,883.98
  5. Step 5: Solve for x
    x = 675,883.98/877.84
  6. Step 6: Final answer
    x = 769.94

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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.