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Finding the Fourth Proportional to 1,007.76, 1,504.44 and 775.32

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Solution

The fourth proportional to 1,007.76, 1,504.44 and 775.32 is: 1,157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.76 : 1,504.44 = 775.32 : x
  2. Step 2: Convert to fraction form
    1,007.76/1,504.44 = 775.32/x
  3. Step 3: Cross multiply
    1,007.76x = 1,504.44 × 775.32
  4. Step 4: Simplify right side
    1,007.76x = 1,166,422.42
  5. Step 5: Solve for x
    x = 1,166,422.42/1,007.76
  6. Step 6: Final answer
    x = 1,157.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.