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Finding the Fourth Proportional to 809.57, 1,117.23 and 460.25

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Solution

The fourth proportional to 809.57, 1,117.23 and 460.25 is: 635.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.57 : 1,117.23 = 460.25 : x
  2. Step 2: Convert to fraction form
    809.57/1,117.23 = 460.25/x
  3. Step 3: Cross multiply
    809.57x = 1,117.23 × 460.25
  4. Step 4: Simplify right side
    809.57x = 514,205.11
  5. Step 5: Solve for x
    x = 514,205.11/809.57
  6. Step 6: Final answer
    x = 635.16

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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.