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Finding the Fourth Proportional to 1,684.58, 2,527.48 and 589.11

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Solution

The fourth proportional to 1,684.58, 2,527.48 and 589.11 is: 883.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.58 : 2,527.48 = 589.11 : x
  2. Step 2: Convert to fraction form
    1,684.58/2,527.48 = 589.11/x
  3. Step 3: Cross multiply
    1,684.58x = 2,527.48 × 589.11
  4. Step 4: Simplify right side
    1,684.58x = 1,488,948.16
  5. Step 5: Solve for x
    x = 1,488,948.16/1,684.58
  6. Step 6: Final answer
    x = 883.87

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Why These Related Problems?

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