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Finding the Fourth Proportional to 1,256.28, 1,732.53 and 857.76

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Solution

The fourth proportional to 1,256.28, 1,732.53 and 857.76 is: 1,182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.28 : 1,732.53 = 857.76 : x
  2. Step 2: Convert to fraction form
    1,256.28/1,732.53 = 857.76/x
  3. Step 3: Cross multiply
    1,256.28x = 1,732.53 × 857.76
  4. Step 4: Simplify right side
    1,256.28x = 1,486,094.93
  5. Step 5: Solve for x
    x = 1,486,094.93/1,256.28
  6. Step 6: Final answer
    x = 1,182.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.