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Finding the Fourth Proportional to 677.48, 1,014.86 and 637.52

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Solution

The fourth proportional to 677.48, 1,014.86 and 637.52 is: 955.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.48 : 1,014.86 = 637.52 : x
  2. Step 2: Convert to fraction form
    677.48/1,014.86 = 637.52/x
  3. Step 3: Cross multiply
    677.48x = 1,014.86 × 637.52
  4. Step 4: Simplify right side
    677.48x = 646,993.55
  5. Step 5: Solve for x
    x = 646,993.55/677.48
  6. Step 6: Final answer
    x = 955.00

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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.