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Finding the Fourth Proportional to 978.75, 1,468.53 and 402.03

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Solution

The fourth proportional to 978.75, 1,468.53 and 402.03 is: 603.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.75 : 1,468.53 = 402.03 : x
  2. Step 2: Convert to fraction form
    978.75/1,468.53 = 402.03/x
  3. Step 3: Cross multiply
    978.75x = 1,468.53 × 402.03
  4. Step 4: Simplify right side
    978.75x = 590,393.12
  5. Step 5: Solve for x
    x = 590,393.12/978.75
  6. Step 6: Final answer
    x = 603.21

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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.