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Finding the Fourth Proportional to 965.66, 1,446.40 and 525.64

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Solution

The fourth proportional to 965.66, 1,446.40 and 525.64 is: 787.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.66 : 1,446.40 = 525.64 : x
  2. Step 2: Convert to fraction form
    965.66/1,446.40 = 525.64/x
  3. Step 3: Cross multiply
    965.66x = 1,446.40 × 525.64
  4. Step 4: Simplify right side
    965.66x = 760,282.49
  5. Step 5: Solve for x
    x = 760,282.49/965.66
  6. Step 6: Final answer
    x = 787.32

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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.