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Finding the Fourth Proportional to 977.12, 1,465.68 and 429.17

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Solution

The fourth proportional to 977.12, 1,465.68 and 429.17 is: 643.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.12 : 1,465.68 = 429.17 : x
  2. Step 2: Convert to fraction form
    977.12/1,465.68 = 429.17/x
  3. Step 3: Cross multiply
    977.12x = 1,465.68 × 429.17
  4. Step 4: Simplify right side
    977.12x = 629,025.89
  5. Step 5: Solve for x
    x = 629,025.89/977.12
  6. Step 6: Final answer
    x = 643.76

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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.