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Finding the Fourth Proportional to 978.95, 1,468.62 and 459.53

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Solution

The fourth proportional to 978.95, 1,468.62 and 459.53 is: 689.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.95 : 1,468.62 = 459.53 : x
  2. Step 2: Convert to fraction form
    978.95/1,468.62 = 459.53/x
  3. Step 3: Cross multiply
    978.95x = 1,468.62 × 459.53
  4. Step 4: Simplify right side
    978.95x = 674,874.95
  5. Step 5: Solve for x
    x = 674,874.95/978.95
  6. Step 6: Final answer
    x = 689.39

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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.