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Finding the Fourth Proportional to 1,433.32, 1,978.08 and 803.92

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Solution

The fourth proportional to 1,433.32, 1,978.08 and 803.92 is: 1,109.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.32 : 1,978.08 = 803.92 : x
  2. Step 2: Convert to fraction form
    1,433.32/1,978.08 = 803.92/x
  3. Step 3: Cross multiply
    1,433.32x = 1,978.08 × 803.92
  4. Step 4: Simplify right side
    1,433.32x = 1,590,218.07
  5. Step 5: Solve for x
    x = 1,590,218.07/1,433.32
  6. Step 6: Final answer
    x = 1,109.46

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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.