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Finding the Fourth Proportional to 1,527.96, 2,291.08 and 758.48

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Solution

The fourth proportional to 1,527.96, 2,291.08 and 758.48 is: 1,137.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.96 : 2,291.08 = 758.48 : x
  2. Step 2: Convert to fraction form
    1,527.96/2,291.08 = 758.48/x
  3. Step 3: Cross multiply
    1,527.96x = 2,291.08 × 758.48
  4. Step 4: Simplify right side
    1,527.96x = 1,737,738.36
  5. Step 5: Solve for x
    x = 1,737,738.36/1,527.96
  6. Step 6: Final answer
    x = 1,137.29

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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.