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Finding the Fourth Proportional to 977.52, 1,465.86 and 429.48

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Solution

The fourth proportional to 977.52, 1,465.86 and 429.48 is: 644.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.52 : 1,465.86 = 429.48 : x
  2. Step 2: Convert to fraction form
    977.52/1,465.86 = 429.48/x
  3. Step 3: Cross multiply
    977.52x = 1,465.86 × 429.48
  4. Step 4: Simplify right side
    977.52x = 629,557.55
  5. Step 5: Solve for x
    x = 629,557.55/977.52
  6. Step 6: Final answer
    x = 644.04

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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.