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Finding the Fourth Proportional to 955.51, 1,433.29 and 493.00

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Solution

The fourth proportional to 955.51, 1,433.29 and 493.00 is: 739.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.51 : 1,433.29 = 493.00 : x
  2. Step 2: Convert to fraction form
    955.51/1,433.29 = 493.00/x
  3. Step 3: Cross multiply
    955.51x = 1,433.29 × 493.00
  4. Step 4: Simplify right side
    955.51x = 706,602.34
  5. Step 5: Solve for x
    x = 706,602.34/955.51
  6. Step 6: Final answer
    x = 739.51

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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.