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Finding the Fourth Proportional to 1,577.89, 2,364.79 and 754.55

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Solution

The fourth proportional to 1,577.89, 2,364.79 and 754.55 is: 1,130.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.89 : 2,364.79 = 754.55 : x
  2. Step 2: Convert to fraction form
    1,577.89/2,364.79 = 754.55/x
  3. Step 3: Cross multiply
    1,577.89x = 2,364.79 × 754.55
  4. Step 4: Simplify right side
    1,577.89x = 1,784,352.29
  5. Step 5: Solve for x
    x = 1,784,352.29/1,577.89
  6. Step 6: Final answer
    x = 1,130.85

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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.