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Finding the Fourth Proportional to 652.52, 975.07 and 637.94

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Solution

The fourth proportional to 652.52, 975.07 and 637.94 is: 953.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.52 : 975.07 = 637.94 : x
  2. Step 2: Convert to fraction form
    652.52/975.07 = 637.94/x
  3. Step 3: Cross multiply
    652.52x = 975.07 × 637.94
  4. Step 4: Simplify right side
    652.52x = 622,036.16
  5. Step 5: Solve for x
    x = 622,036.16/652.52
  6. Step 6: Final answer
    x = 953.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.