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Finding the Fourth Proportional to 979.77, 1,469.65 and 403.05

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Solution

The fourth proportional to 979.77, 1,469.65 and 403.05 is: 604.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.77 : 1,469.65 = 403.05 : x
  2. Step 2: Convert to fraction form
    979.77/1,469.65 = 403.05/x
  3. Step 3: Cross multiply
    979.77x = 1,469.65 × 403.05
  4. Step 4: Simplify right side
    979.77x = 592,341.42
  5. Step 5: Solve for x
    x = 592,341.42/979.77
  6. Step 6: Final answer
    x = 604.57

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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.