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Finding the Fourth Proportional to 1,304.96, 1,801.60 and 864.16

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Solution

The fourth proportional to 1,304.96, 1,801.60 and 864.16 is: 1,193.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.96 : 1,801.60 = 864.16 : x
  2. Step 2: Convert to fraction form
    1,304.96/1,801.60 = 864.16/x
  3. Step 3: Cross multiply
    1,304.96x = 1,801.60 × 864.16
  4. Step 4: Simplify right side
    1,304.96x = 1,556,870.66
  5. Step 5: Solve for x
    x = 1,556,870.66/1,304.96
  6. Step 6: Final answer
    x = 1,193.04

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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.