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Finding the Fourth Proportional to 1,305.91, 1,802.24 and 716.50

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Solution

The fourth proportional to 1,305.91, 1,802.24 and 716.50 is: 988.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.91 : 1,802.24 = 716.50 : x
  2. Step 2: Convert to fraction form
    1,305.91/1,802.24 = 716.50/x
  3. Step 3: Cross multiply
    1,305.91x = 1,802.24 × 716.50
  4. Step 4: Simplify right side
    1,305.91x = 1,291,304.96
  5. Step 5: Solve for x
    x = 1,291,304.96/1,305.91
  6. Step 6: Final answer
    x = 988.82

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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.