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Finding the Fourth Proportional to 1,432.86, 1,977.23 and 803.30

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Solution

The fourth proportional to 1,432.86, 1,977.23 and 803.30 is: 1,108.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.86 : 1,977.23 = 803.30 : x
  2. Step 2: Convert to fraction form
    1,432.86/1,977.23 = 803.30/x
  3. Step 3: Cross multiply
    1,432.86x = 1,977.23 × 803.30
  4. Step 4: Simplify right side
    1,432.86x = 1,588,315.95
  5. Step 5: Solve for x
    x = 1,588,315.95/1,432.86
  6. Step 6: Final answer
    x = 1,108.49

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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.