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Finding the Fourth Proportional to 978.71, 1,468.08 and 393.77

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Solution

The fourth proportional to 978.71, 1,468.08 and 393.77 is: 590.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.71 : 1,468.08 = 393.77 : x
  2. Step 2: Convert to fraction form
    978.71/1,468.08 = 393.77/x
  3. Step 3: Cross multiply
    978.71x = 1,468.08 × 393.77
  4. Step 4: Simplify right side
    978.71x = 578,078.52
  5. Step 5: Solve for x
    x = 578,078.52/978.71
  6. Step 6: Final answer
    x = 590.66

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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.