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Finding the Fourth Proportional to 1,433.32, 1,977.99 and 803.98

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Solution

The fourth proportional to 1,433.32, 1,977.99 and 803.98 is: 1,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.32 : 1,977.99 = 803.98 : x
  2. Step 2: Convert to fraction form
    1,433.32/1,977.99 = 803.98/x
  3. Step 3: Cross multiply
    1,433.32x = 1,977.99 × 803.98
  4. Step 4: Simplify right side
    1,433.32x = 1,590,259.46
  5. Step 5: Solve for x
    x = 1,590,259.46/1,433.32
  6. Step 6: Final answer
    x = 1,109.50

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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.