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Finding the Fourth Proportional to 827.60, 1,236.67 and 595.40

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Solution

The fourth proportional to 827.60, 1,236.67 and 595.40 is: 889.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.60 : 1,236.67 = 595.40 : x
  2. Step 2: Convert to fraction form
    827.60/1,236.67 = 595.40/x
  3. Step 3: Cross multiply
    827.60x = 1,236.67 × 595.40
  4. Step 4: Simplify right side
    827.60x = 736,313.32
  5. Step 5: Solve for x
    x = 736,313.32/827.60
  6. Step 6: Final answer
    x = 889.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.