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Finding the Fourth Proportional to 970.96, 1,340.31 and 577.91

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Solution

The fourth proportional to 970.96, 1,340.31 and 577.91 is: 797.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.96 : 1,340.31 = 577.91 : x
  2. Step 2: Convert to fraction form
    970.96/1,340.31 = 577.91/x
  3. Step 3: Cross multiply
    970.96x = 1,340.31 × 577.91
  4. Step 4: Simplify right side
    970.96x = 774,576.65
  5. Step 5: Solve for x
    x = 774,576.65/970.96
  6. Step 6: Final answer
    x = 797.74

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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.