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Finding the Fourth Proportional to 965.26, 1,448.54 and 417.50

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Solution

The fourth proportional to 965.26, 1,448.54 and 417.50 is: 626.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.26 : 1,448.54 = 417.50 : x
  2. Step 2: Convert to fraction form
    965.26/1,448.54 = 417.50/x
  3. Step 3: Cross multiply
    965.26x = 1,448.54 × 417.50
  4. Step 4: Simplify right side
    965.26x = 604,763.12
  5. Step 5: Solve for x
    x = 604,763.12/965.26
  6. Step 6: Final answer
    x = 626.53

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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.