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Finding the Fourth Proportional to 976.86, 1,465.70 and 429.17

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Solution

The fourth proportional to 976.86, 1,465.70 and 429.17 is: 643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.86 : 1,465.70 = 429.17 : x
  2. Step 2: Convert to fraction form
    976.86/1,465.70 = 429.17/x
  3. Step 3: Cross multiply
    976.86x = 1,465.70 × 429.17
  4. Step 4: Simplify right side
    976.86x = 629,024.99
  5. Step 5: Solve for x
    x = 629,024.99/976.86
  6. Step 6: Final answer
    x = 643.93

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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.