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Finding the Fourth Proportional to 905.04, 1,357.56 and 761.40

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Solution

The fourth proportional to 905.04, 1,357.56 and 761.40 is: 1,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.04 : 1,357.56 = 761.40 : x
  2. Step 2: Convert to fraction form
    905.04/1,357.56 = 761.40/x
  3. Step 3: Cross multiply
    905.04x = 1,357.56 × 761.40
  4. Step 4: Simplify right side
    905.04x = 1,033,646.18
  5. Step 5: Solve for x
    x = 1,033,646.18/905.04
  6. Step 6: Final answer
    x = 1,142.10

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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.