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Finding the Fourth Proportional to 863.11, 1,191.07 and 509.04

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Solution

The fourth proportional to 863.11, 1,191.07 and 509.04 is: 702.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.11 : 1,191.07 = 509.04 : x
  2. Step 2: Convert to fraction form
    863.11/1,191.07 = 509.04/x
  3. Step 3: Cross multiply
    863.11x = 1,191.07 × 509.04
  4. Step 4: Simplify right side
    863.11x = 606,302.27
  5. Step 5: Solve for x
    x = 606,302.27/863.11
  6. Step 6: Final answer
    x = 702.46

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Half scale
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Double scale
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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.