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Finding the Fourth Proportional to 835.77, 1,256.16 and 563.61

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Solution

The fourth proportional to 835.77, 1,256.16 and 563.61 is: 847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.77 : 1,256.16 = 563.61 : x
  2. Step 2: Convert to fraction form
    835.77/1,256.16 = 563.61/x
  3. Step 3: Cross multiply
    835.77x = 1,256.16 × 563.61
  4. Step 4: Simplify right side
    835.77x = 707,980.93
  5. Step 5: Solve for x
    x = 707,980.93/835.77
  6. Step 6: Final answer
    x = 847.10

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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.