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Finding the Fourth Proportional to 643.55, 903.40 and 643.55

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Solution

The fourth proportional to 643.55, 903.40 and 643.55 is: 903.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.55 : 903.40 = 643.55 : x
  2. Step 2: Convert to fraction form
    643.55/903.40 = 643.55/x
  3. Step 3: Cross multiply
    643.55x = 903.40 × 643.55
  4. Step 4: Simplify right side
    643.55x = 581,383.07
  5. Step 5: Solve for x
    x = 581,383.07/643.55
  6. Step 6: Final answer
    x = 903.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.