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Finding the Fourth Proportional to 1,300.64, 1,795.82 and 803.96

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Solution

The fourth proportional to 1,300.64, 1,795.82 and 803.96 is: 1,110.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.64 : 1,795.82 = 803.96 : x
  2. Step 2: Convert to fraction form
    1,300.64/1,795.82 = 803.96/x
  3. Step 3: Cross multiply
    1,300.64x = 1,795.82 × 803.96
  4. Step 4: Simplify right side
    1,300.64x = 1,443,754.45
  5. Step 5: Solve for x
    x = 1,443,754.45/1,300.64
  6. Step 6: Final answer
    x = 1,110.04

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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.