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Finding the Fourth Proportional to 968.14, 1,448.61 and 578.35

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Solution

The fourth proportional to 968.14, 1,448.61 and 578.35 is: 865.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.14 : 1,448.61 = 578.35 : x
  2. Step 2: Convert to fraction form
    968.14/1,448.61 = 578.35/x
  3. Step 3: Cross multiply
    968.14x = 1,448.61 × 578.35
  4. Step 4: Simplify right side
    968.14x = 837,804.04
  5. Step 5: Solve for x
    x = 837,804.04/968.14
  6. Step 6: Final answer
    x = 865.38

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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.