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Finding the Fourth Proportional to 1,312.02, 1,965.44 and 763.04

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Solution

The fourth proportional to 1,312.02, 1,965.44 and 763.04 is: 1,143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.02 : 1,965.44 = 763.04 : x
  2. Step 2: Convert to fraction form
    1,312.02/1,965.44 = 763.04/x
  3. Step 3: Cross multiply
    1,312.02x = 1,965.44 × 763.04
  4. Step 4: Simplify right side
    1,312.02x = 1,499,709.34
  5. Step 5: Solve for x
    x = 1,499,709.34/1,312.02
  6. Step 6: Final answer
    x = 1,143.05

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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.