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Finding the Fourth Proportional to 1,486.16, 2,228.93 and 512.04

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Solution

The fourth proportional to 1,486.16, 2,228.93 and 512.04 is: 767.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.16 : 2,228.93 = 512.04 : x
  2. Step 2: Convert to fraction form
    1,486.16/2,228.93 = 512.04/x
  3. Step 3: Cross multiply
    1,486.16x = 2,228.93 × 512.04
  4. Step 4: Simplify right side
    1,486.16x = 1,141,301.32
  5. Step 5: Solve for x
    x = 1,141,301.32/1,486.16
  6. Step 6: Final answer
    x = 767.95

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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.