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Finding the Fourth Proportional to 1,223.98, 1,689.33 and 803.59

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Solution

The fourth proportional to 1,223.98, 1,689.33 and 803.59 is: 1,109.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.98 : 1,689.33 = 803.59 : x
  2. Step 2: Convert to fraction form
    1,223.98/1,689.33 = 803.59/x
  3. Step 3: Cross multiply
    1,223.98x = 1,689.33 × 803.59
  4. Step 4: Simplify right side
    1,223.98x = 1,357,528.69
  5. Step 5: Solve for x
    x = 1,357,528.69/1,223.98
  6. Step 6: Final answer
    x = 1,109.11

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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.