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Finding the Fourth Proportional to 745.38, 1,117.38 and 283.02

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Solution

The fourth proportional to 745.38, 1,117.38 and 283.02 is: 424.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.38 : 1,117.38 = 283.02 : x
  2. Step 2: Convert to fraction form
    745.38/1,117.38 = 283.02/x
  3. Step 3: Cross multiply
    745.38x = 1,117.38 × 283.02
  4. Step 4: Simplify right side
    745.38x = 316,240.89
  5. Step 5: Solve for x
    x = 316,240.89/745.38
  6. Step 6: Final answer
    x = 424.27

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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.