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Finding the Fourth Proportional to 1,174.94, 1,762.88 and 444.72

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Solution

The fourth proportional to 1,174.94, 1,762.88 and 444.72 is: 667.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.94 : 1,762.88 = 444.72 : x
  2. Step 2: Convert to fraction form
    1,174.94/1,762.88 = 444.72/x
  3. Step 3: Cross multiply
    1,174.94x = 1,762.88 × 444.72
  4. Step 4: Simplify right side
    1,174.94x = 783,985.77
  5. Step 5: Solve for x
    x = 783,985.77/1,174.94
  6. Step 6: Final answer
    x = 667.26

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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.