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Finding the Fourth Proportional to 977.10, 1,465.96 and 429.74

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Solution

The fourth proportional to 977.10, 1,465.96 and 429.74 is: 644.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.10 : 1,465.96 = 429.74 : x
  2. Step 2: Convert to fraction form
    977.10/1,465.96 = 429.74/x
  3. Step 3: Cross multiply
    977.10x = 1,465.96 × 429.74
  4. Step 4: Simplify right side
    977.10x = 629,984.24
  5. Step 5: Solve for x
    x = 629,984.24/977.10
  6. Step 6: Final answer
    x = 644.75

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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.