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Finding the Fourth Proportional to 745.33, 1,118.06 and 312.25

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Solution

The fourth proportional to 745.33, 1,118.06 and 312.25 is: 468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.33 : 1,118.06 = 312.25 : x
  2. Step 2: Convert to fraction form
    745.33/1,118.06 = 312.25/x
  3. Step 3: Cross multiply
    745.33x = 1,118.06 × 312.25
  4. Step 4: Simplify right side
    745.33x = 349,112.67
  5. Step 5: Solve for x
    x = 349,112.67/745.33
  6. Step 6: Final answer
    x = 468.40

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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.