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Finding the Fourth Proportional to 965.51, 1,332.35 and 540.06

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Solution

The fourth proportional to 965.51, 1,332.35 and 540.06 is: 745.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.51 : 1,332.35 = 540.06 : x
  2. Step 2: Convert to fraction form
    965.51/1,332.35 = 540.06/x
  3. Step 3: Cross multiply
    965.51x = 1,332.35 × 540.06
  4. Step 4: Simplify right side
    965.51x = 719,548.94
  5. Step 5: Solve for x
    x = 719,548.94/965.51
  6. Step 6: Final answer
    x = 745.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.