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Finding the Fourth Proportional to 850.40, 1,275.78 and 577.04

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Solution

The fourth proportional to 850.40, 1,275.78 and 577.04 is: 865.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.40 : 1,275.78 = 577.04 : x
  2. Step 2: Convert to fraction form
    850.40/1,275.78 = 577.04/x
  3. Step 3: Cross multiply
    850.40x = 1,275.78 × 577.04
  4. Step 4: Simplify right side
    850.40x = 736,176.09
  5. Step 5: Solve for x
    x = 736,176.09/850.40
  6. Step 6: Final answer
    x = 865.68

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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.