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Finding the Fourth Proportional to 947.76, 1,309.88 and 714.48

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Solution

The fourth proportional to 947.76, 1,309.88 and 714.48 is: 987.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.76 : 1,309.88 = 714.48 : x
  2. Step 2: Convert to fraction form
    947.76/1,309.88 = 714.48/x
  3. Step 3: Cross multiply
    947.76x = 1,309.88 × 714.48
  4. Step 4: Simplify right side
    947.76x = 935,883.06
  5. Step 5: Solve for x
    x = 935,883.06/947.76
  6. Step 6: Final answer
    x = 987.47

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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.