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Finding the Fourth Proportional to 977.68, 1,467.12 and 429.88

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Solution

The fourth proportional to 977.68, 1,467.12 and 429.88 is: 645.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.68 : 1,467.12 = 429.88 : x
  2. Step 2: Convert to fraction form
    977.68/1,467.12 = 429.88/x
  3. Step 3: Cross multiply
    977.68x = 1,467.12 × 429.88
  4. Step 4: Simplify right side
    977.68x = 630,685.55
  5. Step 5: Solve for x
    x = 630,685.55/977.68
  6. Step 6: Final answer
    x = 645.08

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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.