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Finding the Fourth Proportional to 1,594.52, 2,392.14 and 499.04

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Solution

The fourth proportional to 1,594.52, 2,392.14 and 499.04 is: 748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.52 : 2,392.14 = 499.04 : x
  2. Step 2: Convert to fraction form
    1,594.52/2,392.14 = 499.04/x
  3. Step 3: Cross multiply
    1,594.52x = 2,392.14 × 499.04
  4. Step 4: Simplify right side
    1,594.52x = 1,193,773.55
  5. Step 5: Solve for x
    x = 1,193,773.55/1,594.52
  6. Step 6: Final answer
    x = 748.67

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1.5x scale

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.