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Finding the Fourth Proportional to 1,063.17, 1,466.64 and 713.25

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Solution

The fourth proportional to 1,063.17, 1,466.64 and 713.25 is: 983.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.17 : 1,466.64 = 713.25 : x
  2. Step 2: Convert to fraction form
    1,063.17/1,466.64 = 713.25/x
  3. Step 3: Cross multiply
    1,063.17x = 1,466.64 × 713.25
  4. Step 4: Simplify right side
    1,063.17x = 1,046,080.98
  5. Step 5: Solve for x
    x = 1,046,080.98/1,063.17
  6. Step 6: Final answer
    x = 983.93

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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.