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Finding the Fourth Proportional to 873.49, 1,310.92 and 770.98

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Solution

The fourth proportional to 873.49, 1,310.92 and 770.98 is: 1,157.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.49 : 1,310.92 = 770.98 : x
  2. Step 2: Convert to fraction form
    873.49/1,310.92 = 770.98/x
  3. Step 3: Cross multiply
    873.49x = 1,310.92 × 770.98
  4. Step 4: Simplify right side
    873.49x = 1,010,693.10
  5. Step 5: Solve for x
    x = 1,010,693.10/873.49
  6. Step 6: Final answer
    x = 1,157.07

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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.