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Finding the Fourth Proportional to 857.70, 1,182.94 and 563.27

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Solution

The fourth proportional to 857.70, 1,182.94 and 563.27 is: 776.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.70 : 1,182.94 = 563.27 : x
  2. Step 2: Convert to fraction form
    857.70/1,182.94 = 563.27/x
  3. Step 3: Cross multiply
    857.70x = 1,182.94 × 563.27
  4. Step 4: Simplify right side
    857.70x = 666,307.29
  5. Step 5: Solve for x
    x = 666,307.29/857.70
  6. Step 6: Final answer
    x = 776.85

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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.