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Finding the Fourth Proportional to 978.64, 1,468.22 and 430.94

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Solution

The fourth proportional to 978.64, 1,468.22 and 430.94 is: 646.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.64 : 1,468.22 = 430.94 : x
  2. Step 2: Convert to fraction form
    978.64/1,468.22 = 430.94/x
  3. Step 3: Cross multiply
    978.64x = 1,468.22 × 430.94
  4. Step 4: Simplify right side
    978.64x = 632,714.73
  5. Step 5: Solve for x
    x = 632,714.73/978.64
  6. Step 6: Final answer
    x = 646.52

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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.