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Finding the Fourth Proportional to 1,304.74, 1,800.49 and 715.26

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Solution

The fourth proportional to 1,304.74, 1,800.49 and 715.26 is: 987.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.74 : 1,800.49 = 715.26 : x
  2. Step 2: Convert to fraction form
    1,304.74/1,800.49 = 715.26/x
  3. Step 3: Cross multiply
    1,304.74x = 1,800.49 × 715.26
  4. Step 4: Simplify right side
    1,304.74x = 1,287,818.48
  5. Step 5: Solve for x
    x = 1,287,818.48/1,304.74
  6. Step 6: Final answer
    x = 987.03

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