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Finding the Fourth Proportional to 809.85, 1,117.68 and 455.77

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Solution

The fourth proportional to 809.85, 1,117.68 and 455.77 is: 629.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.85 : 1,117.68 = 455.77 : x
  2. Step 2: Convert to fraction form
    809.85/1,117.68 = 455.77/x
  3. Step 3: Cross multiply
    809.85x = 1,117.68 × 455.77
  4. Step 4: Simplify right side
    809.85x = 509,402.22
  5. Step 5: Solve for x
    x = 509,402.22/809.85
  6. Step 6: Final answer
    x = 629.01

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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.