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Finding the Fourth Proportional to 645.12, 973.44 and 618.48

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Solution

The fourth proportional to 645.12, 973.44 and 618.48 is: 933.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.12 : 973.44 = 618.48 : x
  2. Step 2: Convert to fraction form
    645.12/973.44 = 618.48/x
  3. Step 3: Cross multiply
    645.12x = 973.44 × 618.48
  4. Step 4: Simplify right side
    645.12x = 602,053.17
  5. Step 5: Solve for x
    x = 602,053.17/645.12
  6. Step 6: Final answer
    x = 933.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.