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Finding the Fourth Proportional to 977.12, 1,465.80 and 429.24

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Solution

The fourth proportional to 977.12, 1,465.80 and 429.24 is: 643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.12 : 1,465.80 = 429.24 : x
  2. Step 2: Convert to fraction form
    977.12/1,465.80 = 429.24/x
  3. Step 3: Cross multiply
    977.12x = 1,465.80 × 429.24
  4. Step 4: Simplify right side
    977.12x = 629,170.52
  5. Step 5: Solve for x
    x = 629,170.52/977.12
  6. Step 6: Final answer
    x = 643.90

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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.