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Finding the Fourth Proportional to 956.41, 1,319.49 and 602.24

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Solution

The fourth proportional to 956.41, 1,319.49 and 602.24 is: 830.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.41 : 1,319.49 = 602.24 : x
  2. Step 2: Convert to fraction form
    956.41/1,319.49 = 602.24/x
  3. Step 3: Cross multiply
    956.41x = 1,319.49 × 602.24
  4. Step 4: Simplify right side
    956.41x = 794,643.06
  5. Step 5: Solve for x
    x = 794,643.06/956.41
  6. Step 6: Final answer
    x = 830.86

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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.