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Finding the Fourth Proportional to 648.48, 973.54 and 645.53

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Solution

The fourth proportional to 648.48, 973.54 and 645.53 is: 969.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.48 : 973.54 = 645.53 : x
  2. Step 2: Convert to fraction form
    648.48/973.54 = 645.53/x
  3. Step 3: Cross multiply
    648.48x = 973.54 × 645.53
  4. Step 4: Simplify right side
    648.48x = 628,445.22
  5. Step 5: Solve for x
    x = 628,445.22/648.48
  6. Step 6: Final answer
    x = 969.10

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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.