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Finding the Fourth Proportional to 1,700.42, 2,548.26 and 773.71

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Solution

The fourth proportional to 1,700.42, 2,548.26 and 773.71 is: 1,159.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.42 : 2,548.26 = 773.71 : x
  2. Step 2: Convert to fraction form
    1,700.42/2,548.26 = 773.71/x
  3. Step 3: Cross multiply
    1,700.42x = 2,548.26 × 773.71
  4. Step 4: Simplify right side
    1,700.42x = 1,971,607.87
  5. Step 5: Solve for x
    x = 1,971,607.87/1,700.42
  6. Step 6: Final answer
    x = 1,159.49

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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.