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Finding the Fourth Proportional to 974.48, 1,459.72 and 648.80

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Solution

The fourth proportional to 974.48, 1,459.72 and 648.80 is: 971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.48 : 1,459.72 = 648.80 : x
  2. Step 2: Convert to fraction form
    974.48/1,459.72 = 648.80/x
  3. Step 3: Cross multiply
    974.48x = 1,459.72 × 648.80
  4. Step 4: Simplify right side
    974.48x = 947,066.34
  5. Step 5: Solve for x
    x = 947,066.34/974.48
  6. Step 6: Final answer
    x = 971.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.