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Finding the Fourth Proportional to 978.06, 1,467.12 and 429.96

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Solution

The fourth proportional to 978.06, 1,467.12 and 429.96 is: 644.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.06 : 1,467.12 = 429.96 : x
  2. Step 2: Convert to fraction form
    978.06/1,467.12 = 429.96/x
  3. Step 3: Cross multiply
    978.06x = 1,467.12 × 429.96
  4. Step 4: Simplify right side
    978.06x = 630,802.92
  5. Step 5: Solve for x
    x = 630,802.92/978.06
  6. Step 6: Final answer
    x = 644.95

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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.