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Finding the Fourth Proportional to 973.44, 1,460 and 648.64

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Solution

The fourth proportional to 973.44, 1,460 and 648.64 is: 972.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.44 : 1,460 = 648.64 : x
  2. Step 2: Convert to fraction form
    973.44/1,460 = 648.64/x
  3. Step 3: Cross multiply
    973.44x = 1,460 × 648.64
  4. Step 4: Simplify right side
    973.44x = 947,014.40
  5. Step 5: Solve for x
    x = 947,014.40/973.44
  6. Step 6: Final answer
    x = 972.85

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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.