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Finding the Fourth Proportional to 964.00, 1,444.48 and 745.16

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Solution

The fourth proportional to 964.00, 1,444.48 and 745.16 is: 1,116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.00 : 1,444.48 = 745.16 : x
  2. Step 2: Convert to fraction form
    964.00/1,444.48 = 745.16/x
  3. Step 3: Cross multiply
    964.00x = 1,444.48 × 745.16
  4. Step 4: Simplify right side
    964.00x = 1,076,365.11
  5. Step 5: Solve for x
    x = 1,076,365.11/964.00
  6. Step 6: Final answer
    x = 1,116.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.