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Finding the Fourth Proportional to 1,017.12, 1,404.77 and 764.60

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Solution

The fourth proportional to 1,017.12, 1,404.77 and 764.60 is: 1,056.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.12 : 1,404.77 = 764.60 : x
  2. Step 2: Convert to fraction form
    1,017.12/1,404.77 = 764.60/x
  3. Step 3: Cross multiply
    1,017.12x = 1,404.77 × 764.60
  4. Step 4: Simplify right side
    1,017.12x = 1,074,087.14
  5. Step 5: Solve for x
    x = 1,074,087.14/1,017.12
  6. Step 6: Final answer
    x = 1,056.01

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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.