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Finding the Fourth Proportional to 643.02, 885.63 and 555.66

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Solution

The fourth proportional to 643.02, 885.63 and 555.66 is: 765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.02 : 885.63 = 555.66 : x
  2. Step 2: Convert to fraction form
    643.02/885.63 = 555.66/x
  3. Step 3: Cross multiply
    643.02x = 885.63 × 555.66
  4. Step 4: Simplify right side
    643.02x = 492,109.17
  5. Step 5: Solve for x
    x = 492,109.17/643.02
  6. Step 6: Final answer
    x = 765.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.