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Finding the Fourth Proportional to 969.23, 1,454.07 and 506.76

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Solution

The fourth proportional to 969.23, 1,454.07 and 506.76 is: 760.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.23 : 1,454.07 = 506.76 : x
  2. Step 2: Convert to fraction form
    969.23/1,454.07 = 506.76/x
  3. Step 3: Cross multiply
    969.23x = 1,454.07 × 506.76
  4. Step 4: Simplify right side
    969.23x = 736,864.51
  5. Step 5: Solve for x
    x = 736,864.51/969.23
  6. Step 6: Final answer
    x = 760.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.