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Finding the Fourth Proportional to 851.84, 1,174.08 and 589.52

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Solution

The fourth proportional to 851.84, 1,174.08 and 589.52 is: 812.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.84 : 1,174.08 = 589.52 : x
  2. Step 2: Convert to fraction form
    851.84/1,174.08 = 589.52/x
  3. Step 3: Cross multiply
    851.84x = 1,174.08 × 589.52
  4. Step 4: Simplify right side
    851.84x = 692,143.64
  5. Step 5: Solve for x
    x = 692,143.64/851.84
  6. Step 6: Final answer
    x = 812.53

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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.