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Finding the Fourth Proportional to 973.62, 1,460.51 and 480.29

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Solution

The fourth proportional to 973.62, 1,460.51 and 480.29 is: 720.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.62 : 1,460.51 = 480.29 : x
  2. Step 2: Convert to fraction form
    973.62/1,460.51 = 480.29/x
  3. Step 3: Cross multiply
    973.62x = 1,460.51 × 480.29
  4. Step 4: Simplify right side
    973.62x = 701,468.35
  5. Step 5: Solve for x
    x = 701,468.35/973.62
  6. Step 6: Final answer
    x = 720.47

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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.