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Finding the Fourth Proportional to 631.68, 870.66 and 576.60

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Solution

The fourth proportional to 631.68, 870.66 and 576.60 is: 794.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.68 : 870.66 = 576.60 : x
  2. Step 2: Convert to fraction form
    631.68/870.66 = 576.60/x
  3. Step 3: Cross multiply
    631.68x = 870.66 × 576.60
  4. Step 4: Simplify right side
    631.68x = 502,022.56
  5. Step 5: Solve for x
    x = 502,022.56/631.68
  6. Step 6: Final answer
    x = 794.74

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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.