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Finding the Fourth Proportional to 963.02, 1,328.01 and 775.91

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Solution

The fourth proportional to 963.02, 1,328.01 and 775.91 is: 1,069.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.02 : 1,328.01 = 775.91 : x
  2. Step 2: Convert to fraction form
    963.02/1,328.01 = 775.91/x
  3. Step 3: Cross multiply
    963.02x = 1,328.01 × 775.91
  4. Step 4: Simplify right side
    963.02x = 1,030,409.60
  5. Step 5: Solve for x
    x = 1,030,409.60/963.02
  6. Step 6: Final answer
    x = 1,069.98

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Why These Related Problems?

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