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Finding the Fourth Proportional to 807.76, 1,114.02 and 513.12

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Solution

The fourth proportional to 807.76, 1,114.02 and 513.12 is: 707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.76 : 1,114.02 = 513.12 : x
  2. Step 2: Convert to fraction form
    807.76/1,114.02 = 513.12/x
  3. Step 3: Cross multiply
    807.76x = 1,114.02 × 513.12
  4. Step 4: Simplify right side
    807.76x = 571,625.94
  5. Step 5: Solve for x
    x = 571,625.94/807.76
  6. Step 6: Final answer
    x = 707.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.