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Finding the Fourth Proportional to 979.75, 1,467.57 and 432.32

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Solution

The fourth proportional to 979.75, 1,467.57 and 432.32 is: 647.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.75 : 1,467.57 = 432.32 : x
  2. Step 2: Convert to fraction form
    979.75/1,467.57 = 432.32/x
  3. Step 3: Cross multiply
    979.75x = 1,467.57 × 432.32
  4. Step 4: Simplify right side
    979.75x = 634,459.86
  5. Step 5: Solve for x
    x = 634,459.86/979.75
  6. Step 6: Final answer
    x = 647.57

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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.