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Finding the Fourth Proportional to 968.16, 1,454.10 and 829.65

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Solution

The fourth proportional to 968.16, 1,454.10 and 829.65 is: 1,246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.16 : 1,454.10 = 829.65 : x
  2. Step 2: Convert to fraction form
    968.16/1,454.10 = 829.65/x
  3. Step 3: Cross multiply
    968.16x = 1,454.10 × 829.65
  4. Step 4: Simplify right side
    968.16x = 1,206,386.79
  5. Step 5: Solve for x
    x = 1,206,386.79/968.16
  6. Step 6: Final answer
    x = 1,246.07

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Why These Related Problems?

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