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Finding the Fourth Proportional to 817.53, 1,128.29 and 468.21

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Solution

The fourth proportional to 817.53, 1,128.29 and 468.21 is: 646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.53 : 1,128.29 = 468.21 : x
  2. Step 2: Convert to fraction form
    817.53/1,128.29 = 468.21/x
  3. Step 3: Cross multiply
    817.53x = 1,128.29 × 468.21
  4. Step 4: Simplify right side
    817.53x = 528,274.32
  5. Step 5: Solve for x
    x = 528,274.32/817.53
  6. Step 6: Final answer
    x = 646.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.