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Finding the Fourth Proportional to 857.86, 1,183.36 and 592.27

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Solution

The fourth proportional to 857.86, 1,183.36 and 592.27 is: 817.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.86 : 1,183.36 = 592.27 : x
  2. Step 2: Convert to fraction form
    857.86/1,183.36 = 592.27/x
  3. Step 3: Cross multiply
    857.86x = 1,183.36 × 592.27
  4. Step 4: Simplify right side
    857.86x = 700,868.63
  5. Step 5: Solve for x
    x = 700,868.63/857.86
  6. Step 6: Final answer
    x = 817.00

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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.