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Finding the Fourth Proportional to 1,033.84, 1,543.82 and 904.24

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Solution

The fourth proportional to 1,033.84, 1,543.82 and 904.24 is: 1,350.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.84 : 1,543.82 = 904.24 : x
  2. Step 2: Convert to fraction form
    1,033.84/1,543.82 = 904.24/x
  3. Step 3: Cross multiply
    1,033.84x = 1,543.82 × 904.24
  4. Step 4: Simplify right side
    1,033.84x = 1,395,983.80
  5. Step 5: Solve for x
    x = 1,395,983.80/1,033.84
  6. Step 6: Final answer
    x = 1,350.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.