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Finding the Fourth Proportional to 1,156.60, 1,732.74 and 772.12

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Solution

The fourth proportional to 1,156.60, 1,732.74 and 772.12 is: 1,156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.60 : 1,732.74 = 772.12 : x
  2. Step 2: Convert to fraction form
    1,156.60/1,732.74 = 772.12/x
  3. Step 3: Cross multiply
    1,156.60x = 1,732.74 × 772.12
  4. Step 4: Simplify right side
    1,156.60x = 1,337,883.21
  5. Step 5: Solve for x
    x = 1,337,883.21/1,156.60
  6. Step 6: Final answer
    x = 1,156.74

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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.