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Finding the Fourth Proportional to 967.51, 1,334.96 and 594.55

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Solution

The fourth proportional to 967.51, 1,334.96 and 594.55 is: 820.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.51 : 1,334.96 = 594.55 : x
  2. Step 2: Convert to fraction form
    967.51/1,334.96 = 594.55/x
  3. Step 3: Cross multiply
    967.51x = 1,334.96 × 594.55
  4. Step 4: Simplify right side
    967.51x = 793,693.79
  5. Step 5: Solve for x
    x = 793,693.79/967.51
  6. Step 6: Final answer
    x = 820.35

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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.