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Finding the Fourth Proportional to 978.12, 1,467.59 and 457.74

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Solution

The fourth proportional to 978.12, 1,467.59 and 457.74 is: 686.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.12 : 1,467.59 = 457.74 : x
  2. Step 2: Convert to fraction form
    978.12/1,467.59 = 457.74/x
  3. Step 3: Cross multiply
    978.12x = 1,467.59 × 457.74
  4. Step 4: Simplify right side
    978.12x = 671,772.36
  5. Step 5: Solve for x
    x = 671,772.36/978.12
  6. Step 6: Final answer
    x = 686.80

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