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Finding the Fourth Proportional to 810.75, 1,118.93 and 461.46

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Solution

The fourth proportional to 810.75, 1,118.93 and 461.46 is: 636.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.75 : 1,118.93 = 461.46 : x
  2. Step 2: Convert to fraction form
    810.75/1,118.93 = 461.46/x
  3. Step 3: Cross multiply
    810.75x = 1,118.93 × 461.46
  4. Step 4: Simplify right side
    810.75x = 516,339.13
  5. Step 5: Solve for x
    x = 516,339.13/810.75
  6. Step 6: Final answer
    x = 636.87

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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.