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Finding the Fourth Proportional to 1,486.04, 2,228.48 and 511.88

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Solution

The fourth proportional to 1,486.04, 2,228.48 and 511.88 is: 767.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.04 : 2,228.48 = 511.88 : x
  2. Step 2: Convert to fraction form
    1,486.04/2,228.48 = 511.88/x
  3. Step 3: Cross multiply
    1,486.04x = 2,228.48 × 511.88
  4. Step 4: Simplify right side
    1,486.04x = 1,140,714.34
  5. Step 5: Solve for x
    x = 1,140,714.34/1,486.04
  6. Step 6: Final answer
    x = 767.62

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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.