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Finding the Fourth Proportional to 977.13, 1,464.86 and 428.90

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Solution

The fourth proportional to 977.13, 1,464.86 and 428.90 is: 642.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.13 : 1,464.86 = 428.90 : x
  2. Step 2: Convert to fraction form
    977.13/1,464.86 = 428.90/x
  3. Step 3: Cross multiply
    977.13x = 1,464.86 × 428.90
  4. Step 4: Simplify right side
    977.13x = 628,278.45
  5. Step 5: Solve for x
    x = 628,278.45/977.13
  6. Step 6: Final answer
    x = 642.98

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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.