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Finding the Fourth Proportional to 875.40, 1,208.22 and 516.75

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Solution

The fourth proportional to 875.40, 1,208.22 and 516.75 is: 713.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.40 : 1,208.22 = 516.75 : x
  2. Step 2: Convert to fraction form
    875.40/1,208.22 = 516.75/x
  3. Step 3: Cross multiply
    875.40x = 1,208.22 × 516.75
  4. Step 4: Simplify right side
    875.40x = 624,347.69
  5. Step 5: Solve for x
    x = 624,347.69/875.40
  6. Step 6: Final answer
    x = 713.21

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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.