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Finding the Fourth Proportional to 1,304.57, 1,800.32 and 715.13

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Solution

The fourth proportional to 1,304.57, 1,800.32 and 715.13 is: 986.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.57 : 1,800.32 = 715.13 : x
  2. Step 2: Convert to fraction form
    1,304.57/1,800.32 = 715.13/x
  3. Step 3: Cross multiply
    1,304.57x = 1,800.32 × 715.13
  4. Step 4: Simplify right side
    1,304.57x = 1,287,450.26
  5. Step 5: Solve for x
    x = 1,287,450.26/1,304.57
  6. Step 6: Final answer
    x = 986.88

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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.