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Finding the Fourth Proportional to 1,482, 2,223.04 and 557.46

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Solution

The fourth proportional to 1,482, 2,223.04 and 557.46 is: 836.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482 : 2,223.04 = 557.46 : x
  2. Step 2: Convert to fraction form
    1,482/2,223.04 = 557.46/x
  3. Step 3: Cross multiply
    1,482x = 2,223.04 × 557.46
  4. Step 4: Simplify right side
    1,482x = 1,239,255.88
  5. Step 5: Solve for x
    x = 1,239,255.88/1,482
  6. Step 6: Final answer
    x = 836.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.