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Finding the Fourth Proportional to 1,004.16, 1,385.64 and 864.48

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Solution

The fourth proportional to 1,004.16, 1,385.64 and 864.48 is: 1,192.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.16 : 1,385.64 = 864.48 : x
  2. Step 2: Convert to fraction form
    1,004.16/1,385.64 = 864.48/x
  3. Step 3: Cross multiply
    1,004.16x = 1,385.64 × 864.48
  4. Step 4: Simplify right side
    1,004.16x = 1,197,858.07
  5. Step 5: Solve for x
    x = 1,197,858.07/1,004.16
  6. Step 6: Final answer
    x = 1,192.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.