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Finding the Fourth Proportional to 978.99, 1,468.53 and 491.47

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Solution

The fourth proportional to 978.99, 1,468.53 and 491.47 is: 737.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.99 : 1,468.53 = 491.47 : x
  2. Step 2: Convert to fraction form
    978.99/1,468.53 = 491.47/x
  3. Step 3: Cross multiply
    978.99x = 1,468.53 × 491.47
  4. Step 4: Simplify right side
    978.99x = 721,734.77
  5. Step 5: Solve for x
    x = 721,734.77/978.99
  6. Step 6: Final answer
    x = 737.23

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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.