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Finding the Fourth Proportional to 877.68, 1,316.70 and 871.56

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Solution

The fourth proportional to 877.68, 1,316.70 and 871.56 is: 1,307.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.68 : 1,316.70 = 871.56 : x
  2. Step 2: Convert to fraction form
    877.68/1,316.70 = 871.56/x
  3. Step 3: Cross multiply
    877.68x = 1,316.70 × 871.56
  4. Step 4: Simplify right side
    877.68x = 1,147,583.05
  5. Step 5: Solve for x
    x = 1,147,583.05/877.68
  6. Step 6: Final answer
    x = 1,307.52

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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.