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Finding the Fourth Proportional to 1,731.52, 2,597.28 and 757.76

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Solution

The fourth proportional to 1,731.52, 2,597.28 and 757.76 is: 1,136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.52 : 2,597.28 = 757.76 : x
  2. Step 2: Convert to fraction form
    1,731.52/2,597.28 = 757.76/x
  3. Step 3: Cross multiply
    1,731.52x = 2,597.28 × 757.76
  4. Step 4: Simplify right side
    1,731.52x = 1,968,114.89
  5. Step 5: Solve for x
    x = 1,968,114.89/1,731.52
  6. Step 6: Final answer
    x = 1,136.64

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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.