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Finding the Fourth Proportional to 675.24, 1,014.78 and 401.40

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Solution

The fourth proportional to 675.24, 1,014.78 and 401.40 is: 603.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.24 : 1,014.78 = 401.40 : x
  2. Step 2: Convert to fraction form
    675.24/1,014.78 = 401.40/x
  3. Step 3: Cross multiply
    675.24x = 1,014.78 × 401.40
  4. Step 4: Simplify right side
    675.24x = 407,332.69
  5. Step 5: Solve for x
    x = 407,332.69/675.24
  6. Step 6: Final answer
    x = 603.24

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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.