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Finding the Fourth Proportional to 757.04, 1,136.93 and 696.06

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Solution

The fourth proportional to 757.04, 1,136.93 and 696.06 is: 1,045.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.04 : 1,136.93 = 696.06 : x
  2. Step 2: Convert to fraction form
    757.04/1,136.93 = 696.06/x
  3. Step 3: Cross multiply
    757.04x = 1,136.93 × 696.06
  4. Step 4: Simplify right side
    757.04x = 791,368.02
  5. Step 5: Solve for x
    x = 791,368.02/757.04
  6. Step 6: Final answer
    x = 1,045.35

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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.