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Finding the Fourth Proportional to 1,305.98, 1,802.31 and 716.53

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Solution

The fourth proportional to 1,305.98, 1,802.31 and 716.53 is: 988.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.98 : 1,802.31 = 716.53 : x
  2. Step 2: Convert to fraction form
    1,305.98/1,802.31 = 716.53/x
  3. Step 3: Cross multiply
    1,305.98x = 1,802.31 × 716.53
  4. Step 4: Simplify right side
    1,305.98x = 1,291,409.18
  5. Step 5: Solve for x
    x = 1,291,409.18/1,305.98
  6. Step 6: Final answer
    x = 988.84

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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.