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Finding the Fourth Proportional to 955.04, 1,319.10 and 733.46

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Solution

The fourth proportional to 955.04, 1,319.10 and 733.46 is: 1,013.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.04 : 1,319.10 = 733.46 : x
  2. Step 2: Convert to fraction form
    955.04/1,319.10 = 733.46/x
  3. Step 3: Cross multiply
    955.04x = 1,319.10 × 733.46
  4. Step 4: Simplify right side
    955.04x = 967,507.09
  5. Step 5: Solve for x
    x = 967,507.09/955.04
  6. Step 6: Final answer
    x = 1,013.05

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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.