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Finding the Fourth Proportional to 950.30, 1,310.70 and 714.32

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Solution

The fourth proportional to 950.30, 1,310.70 and 714.32 is: 985.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.30 : 1,310.70 = 714.32 : x
  2. Step 2: Convert to fraction form
    950.30/1,310.70 = 714.32/x
  3. Step 3: Cross multiply
    950.30x = 1,310.70 × 714.32
  4. Step 4: Simplify right side
    950.30x = 936,259.22
  5. Step 5: Solve for x
    x = 936,259.22/950.30
  6. Step 6: Final answer
    x = 985.22

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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.