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Finding the Fourth Proportional to 631.41, 870.26 and 512.95

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Solution

The fourth proportional to 631.41, 870.26 and 512.95 is: 706.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.41 : 870.26 = 512.95 : x
  2. Step 2: Convert to fraction form
    631.41/870.26 = 512.95/x
  3. Step 3: Cross multiply
    631.41x = 870.26 × 512.95
  4. Step 4: Simplify right side
    631.41x = 446,399.87
  5. Step 5: Solve for x
    x = 446,399.87/631.41
  6. Step 6: Final answer
    x = 706.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.