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Finding the Fourth Proportional to 632.69, 950.26 and 524.51

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Solution

The fourth proportional to 632.69, 950.26 and 524.51 is: 787.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.69 : 950.26 = 524.51 : x
  2. Step 2: Convert to fraction form
    632.69/950.26 = 524.51/x
  3. Step 3: Cross multiply
    632.69x = 950.26 × 524.51
  4. Step 4: Simplify right side
    632.69x = 498,417.88
  5. Step 5: Solve for x
    x = 498,417.88/632.69
  6. Step 6: Final answer
    x = 787.77

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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.