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Finding the Fourth Proportional to 978.83, 1,468.26 and 491.77

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Solution

The fourth proportional to 978.83, 1,468.26 and 491.77 is: 737.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.83 : 1,468.26 = 491.77 : x
  2. Step 2: Convert to fraction form
    978.83/1,468.26 = 491.77/x
  3. Step 3: Cross multiply
    978.83x = 1,468.26 × 491.77
  4. Step 4: Simplify right side
    978.83x = 722,048.06
  5. Step 5: Solve for x
    x = 722,048.06/978.83
  6. Step 6: Final answer
    x = 737.66

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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.