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Finding the Fourth Proportional to 977.47, 1,465.90 and 429.50

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Solution

The fourth proportional to 977.47, 1,465.90 and 429.50 is: 644.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.47 : 1,465.90 = 429.50 : x
  2. Step 2: Convert to fraction form
    977.47/1,465.90 = 429.50/x
  3. Step 3: Cross multiply
    977.47x = 1,465.90 × 429.50
  4. Step 4: Simplify right side
    977.47x = 629,606.64
  5. Step 5: Solve for x
    x = 629,606.64/977.47
  6. Step 6: Final answer
    x = 644.12

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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.