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Finding the Fourth Proportional to 1,432.89, 1,977.36 and 803.40

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Solution

The fourth proportional to 1,432.89, 1,977.36 and 803.40 is: 1,108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.89 : 1,977.36 = 803.40 : x
  2. Step 2: Convert to fraction form
    1,432.89/1,977.36 = 803.40/x
  3. Step 3: Cross multiply
    1,432.89x = 1,977.36 × 803.40
  4. Step 4: Simplify right side
    1,432.89x = 1,588,611.02
  5. Step 5: Solve for x
    x = 1,588,611.02/1,432.89
  6. Step 6: Final answer
    x = 1,108.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.