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Finding the Fourth Proportional to 978.30, 1,468.65 and 491.70

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Solution

The fourth proportional to 978.30, 1,468.65 and 491.70 is: 738.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.30 : 1,468.65 = 491.70 : x
  2. Step 2: Convert to fraction form
    978.30/1,468.65 = 491.70/x
  3. Step 3: Cross multiply
    978.30x = 1,468.65 × 491.70
  4. Step 4: Simplify right side
    978.30x = 722,135.21
  5. Step 5: Solve for x
    x = 722,135.21/978.30
  6. Step 6: Final answer
    x = 738.15

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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.