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Finding the Fourth Proportional to 1,575.89, 2,364.35 and 754.06

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Solution

The fourth proportional to 1,575.89, 2,364.35 and 754.06 is: 1,131.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.89 : 2,364.35 = 754.06 : x
  2. Step 2: Convert to fraction form
    1,575.89/2,364.35 = 754.06/x
  3. Step 3: Cross multiply
    1,575.89x = 2,364.35 × 754.06
  4. Step 4: Simplify right side
    1,575.89x = 1,782,861.76
  5. Step 5: Solve for x
    x = 1,782,861.76/1,575.89
  6. Step 6: Final answer
    x = 1,131.34

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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.