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Finding the Fourth Proportional to 665.40, 918.71 and 595.25

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Solution

The fourth proportional to 665.40, 918.71 and 595.25 is: 821.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.40 : 918.71 = 595.25 : x
  2. Step 2: Convert to fraction form
    665.40/918.71 = 595.25/x
  3. Step 3: Cross multiply
    665.40x = 918.71 × 595.25
  4. Step 4: Simplify right side
    665.40x = 546,854.56
  5. Step 5: Solve for x
    x = 546,854.56/665.40
  6. Step 6: Final answer
    x = 821.84

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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.