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Finding the Fourth Proportional to 646.76, 971.22 and 550.10

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Solution

The fourth proportional to 646.76, 971.22 and 550.10 is: 826.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.76 : 971.22 = 550.10 : x
  2. Step 2: Convert to fraction form
    646.76/971.22 = 550.10/x
  3. Step 3: Cross multiply
    646.76x = 971.22 × 550.10
  4. Step 4: Simplify right side
    646.76x = 534,268.12
  5. Step 5: Solve for x
    x = 534,268.12/646.76
  6. Step 6: Final answer
    x = 826.07

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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.