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Finding the Fourth Proportional to 965.46, 1,448.55 and 417.54

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Solution

The fourth proportional to 965.46, 1,448.55 and 417.54 is: 626.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.46 : 1,448.55 = 417.54 : x
  2. Step 2: Convert to fraction form
    965.46/1,448.55 = 417.54/x
  3. Step 3: Cross multiply
    965.46x = 1,448.55 × 417.54
  4. Step 4: Simplify right side
    965.46x = 604,827.57
  5. Step 5: Solve for x
    x = 604,827.57/965.46
  6. Step 6: Final answer
    x = 626.47

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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.