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Finding the Fourth Proportional to 1,155.30, 1,594.17 and 713.04

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Solution

The fourth proportional to 1,155.30, 1,594.17 and 713.04 is: 983.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.30 : 1,594.17 = 713.04 : x
  2. Step 2: Convert to fraction form
    1,155.30/1,594.17 = 713.04/x
  3. Step 3: Cross multiply
    1,155.30x = 1,594.17 × 713.04
  4. Step 4: Simplify right side
    1,155.30x = 1,136,706.98
  5. Step 5: Solve for x
    x = 1,136,706.98/1,155.30
  6. Step 6: Final answer
    x = 983.91

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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.