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Finding the Fourth Proportional to 745.04, 1,111.93 and 725.60

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Solution

The fourth proportional to 745.04, 1,111.93 and 725.60 is: 1,082.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.04 : 1,111.93 = 725.60 : x
  2. Step 2: Convert to fraction form
    745.04/1,111.93 = 725.60/x
  3. Step 3: Cross multiply
    745.04x = 1,111.93 × 725.60
  4. Step 4: Simplify right side
    745.04x = 806,821.46
  5. Step 5: Solve for x
    x = 806,821.46/745.04
  6. Step 6: Final answer
    x = 1,082.92

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Why These Related Problems?

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