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Finding the Fourth Proportional to 1,267.83, 1,902.29 and 446.68

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Solution

The fourth proportional to 1,267.83, 1,902.29 and 446.68 is: 670.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.83 : 1,902.29 = 446.68 : x
  2. Step 2: Convert to fraction form
    1,267.83/1,902.29 = 446.68/x
  3. Step 3: Cross multiply
    1,267.83x = 1,902.29 × 446.68
  4. Step 4: Simplify right side
    1,267.83x = 849,714.90
  5. Step 5: Solve for x
    x = 849,714.90/1,267.83
  6. Step 6: Final answer
    x = 670.21

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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.