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Finding the Fourth Proportional to 891.63, 1,230.48 and 597.42

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Solution

The fourth proportional to 891.63, 1,230.48 and 597.42 is: 824.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.63 : 1,230.48 = 597.42 : x
  2. Step 2: Convert to fraction form
    891.63/1,230.48 = 597.42/x
  3. Step 3: Cross multiply
    891.63x = 1,230.48 × 597.42
  4. Step 4: Simplify right side
    891.63x = 735,113.36
  5. Step 5: Solve for x
    x = 735,113.36/891.63
  6. Step 6: Final answer
    x = 824.46

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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.