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Finding the Fourth Proportional to 817.85, 1,128.63 and 468.50

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Solution

The fourth proportional to 817.85, 1,128.63 and 468.50 is: 646.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.85 : 1,128.63 = 468.50 : x
  2. Step 2: Convert to fraction form
    817.85/1,128.63 = 468.50/x
  3. Step 3: Cross multiply
    817.85x = 1,128.63 × 468.50
  4. Step 4: Simplify right side
    817.85x = 528,763.16
  5. Step 5: Solve for x
    x = 528,763.16/817.85
  6. Step 6: Final answer
    x = 646.53

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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.