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Finding the Fourth Proportional to 1,312.67, 1,969.95 and 764.30

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Solution

The fourth proportional to 1,312.67, 1,969.95 and 764.30 is: 1,147.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.67 : 1,969.95 = 764.30 : x
  2. Step 2: Convert to fraction form
    1,312.67/1,969.95 = 764.30/x
  3. Step 3: Cross multiply
    1,312.67x = 1,969.95 × 764.30
  4. Step 4: Simplify right side
    1,312.67x = 1,505,632.79
  5. Step 5: Solve for x
    x = 1,505,632.79/1,312.67
  6. Step 6: Final answer
    x = 1,147.00

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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.