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Finding the Fourth Proportional to 978.50, 1,468.02 and 465.50

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Solution

The fourth proportional to 978.50, 1,468.02 and 465.50 is: 698.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.50 : 1,468.02 = 465.50 : x
  2. Step 2: Convert to fraction form
    978.50/1,468.02 = 465.50/x
  3. Step 3: Cross multiply
    978.50x = 1,468.02 × 465.50
  4. Step 4: Simplify right side
    978.50x = 683,363.31
  5. Step 5: Solve for x
    x = 683,363.31/978.50
  6. Step 6: Final answer
    x = 698.38

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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.