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Finding the Fourth Proportional to 850.06, 1,277.52 and 417.52

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Solution

The fourth proportional to 850.06, 1,277.52 and 417.52 is: 627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.06 : 1,277.52 = 417.52 : x
  2. Step 2: Convert to fraction form
    850.06/1,277.52 = 417.52/x
  3. Step 3: Cross multiply
    850.06x = 1,277.52 × 417.52
  4. Step 4: Simplify right side
    850.06x = 533,386.96
  5. Step 5: Solve for x
    x = 533,386.96/850.06
  6. Step 6: Final answer
    x = 627.47

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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.