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Finding the Fourth Proportional to 1,256.16, 1,884.24 and 486.84

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Solution

The fourth proportional to 1,256.16, 1,884.24 and 486.84 is: 730.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.16 : 1,884.24 = 486.84 : x
  2. Step 2: Convert to fraction form
    1,256.16/1,884.24 = 486.84/x
  3. Step 3: Cross multiply
    1,256.16x = 1,884.24 × 486.84
  4. Step 4: Simplify right side
    1,256.16x = 917,323.40
  5. Step 5: Solve for x
    x = 917,323.40/1,256.16
  6. Step 6: Final answer
    x = 730.26

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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.