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Finding the Fourth Proportional to 929.58, 1,282.32 and 634.32

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Solution

The fourth proportional to 929.58, 1,282.32 and 634.32 is: 875.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.58 : 1,282.32 = 634.32 : x
  2. Step 2: Convert to fraction form
    929.58/1,282.32 = 634.32/x
  3. Step 3: Cross multiply
    929.58x = 1,282.32 × 634.32
  4. Step 4: Simplify right side
    929.58x = 813,401.22
  5. Step 5: Solve for x
    x = 813,401.22/929.58
  6. Step 6: Final answer
    x = 875.02

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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.