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Finding the Fourth Proportional to 631.71, 945.95 and 534.51

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Solution

The fourth proportional to 631.71, 945.95 and 534.51 is: 800.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.71 : 945.95 = 534.51 : x
  2. Step 2: Convert to fraction form
    631.71/945.95 = 534.51/x
  3. Step 3: Cross multiply
    631.71x = 945.95 × 534.51
  4. Step 4: Simplify right side
    631.71x = 505,617.06
  5. Step 5: Solve for x
    x = 505,617.06/631.71
  6. Step 6: Final answer
    x = 800.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.