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Finding the Fourth Proportional to 1,685.15, 2,528.85 and 589.52

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Solution

The fourth proportional to 1,685.15, 2,528.85 and 589.52 is: 884.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.15 : 2,528.85 = 589.52 : x
  2. Step 2: Convert to fraction form
    1,685.15/2,528.85 = 589.52/x
  3. Step 3: Cross multiply
    1,685.15x = 2,528.85 × 589.52
  4. Step 4: Simplify right side
    1,685.15x = 1,490,795.01
  5. Step 5: Solve for x
    x = 1,490,795.01/1,685.15
  6. Step 6: Final answer
    x = 884.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.