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Finding the Fourth Proportional to 745.28, 1,117.93 and 416.02

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Solution

The fourth proportional to 745.28, 1,117.93 and 416.02 is: 624.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.28 : 1,117.93 = 416.02 : x
  2. Step 2: Convert to fraction form
    745.28/1,117.93 = 416.02/x
  3. Step 3: Cross multiply
    745.28x = 1,117.93 × 416.02
  4. Step 4: Simplify right side
    745.28x = 465,083.83
  5. Step 5: Solve for x
    x = 465,083.83/745.28
  6. Step 6: Final answer
    x = 624.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.